QuestionSolve the equation $7(m+3)=84$ for the variable $m$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $7(m+3)=84$ . We are solving for the variable $m$

STEP 2

First, we need to distribute the $7$ across the $(m+)$ in the equation.
$7(m+) =7m +7*$

STEP 3

Calculate the multiplication.
$7m +7*3 =7m +21$

STEP 4

Now we have the equation $7m +21 =84$ . The next step is to isolate the term with $m$ on one side of the equation. We can do this by subtracting $21$ from both sides of the equation.
$7m +21 -21 =84 -21$

STEP 5

Calculate the subtraction.
$7m =84 -21 =63$

STEP 6

Now we have the equation $m =63$ . To solve for $m$ , we need to divide both sides of the equation by $$.
$m / =63 /$

STEP 7

Calculate the division.
$m =63 /7 =9$ So, the solution to the equation $7(m+3)=84$ is $m=9$ .

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QuestionSolve the equation $7(m+3)=84$ for the variable $m$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $7(m+3)=84$ . We are solving for the variable $m$

STEP 2

First, we need to distribute the $7$ across the $(m+)$ in the equation.
$7(m+) =7m +7*$

STEP 3

Calculate the multiplication.
$7m +7*3 =7m +21$

STEP 4

Now we have the equation $7m +21 =84$ . The next step is to isolate the term with $m$ on one side of the equation. We can do this by subtracting $21$ from both sides of the equation.
$7m +21 -21 =84 -21$

STEP 5

Calculate the subtraction.
$7m =84 -21 =63$

STEP 6

Now we have the equation $m =63$ . To solve for $m$ , we need to divide both sides of the equation by $$.
$m / =63 /$

STEP 7

Calculate the division.
$m =63 /7 =9$ So, the solution to the equation $7(m+3)=84$ is $m=9$ .

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QuestionSolve the equation 7(m+3)=847(m+3)=847(m+3)=84 for the variable mmm.

Studdy Solution

STEP 1

Assumptions1. The given equation is 7(m+3)=847(m+3)=847(m+3)=84 . We are solving for the variable mmm

STEP 2

First, we need to distribute the 777 across the (m+)(m+)(m+) in the equation.7(m+)=7m+7∗7(m+) =7m +7*7(m+)=7m+7∗

STEP 3

Calculate the multiplication.7m+7∗3=7m+217m +7*3 =7m +217m+7∗3=7m+21

STEP 4

Now we have the equation 7m+21=847m +21 =847m+21=84. The next step is to isolate the term with mmm on one side of the equation. We can do this by subtracting 212121 from both sides of the equation.7m+21−21=84−217m +21 -21 =84 -217m+21−21=84−21

STEP 5

Calculate the subtraction.7m=84−21=637m =84 -21 =637m=84−21=63

STEP 6

Now we have the equation m=63m =63m=63. To solve for mmm, we need to divide both sides of the equation by $$.m/=63/m / =63 /m/=63/

STEP 7

Calculate the division.m=63/7=9m =63 /7 =9m=63/7=9So, the solution to the equation 7(m+3)=847(m+3)=847(m+3)=84 is m=9m=9m=9.

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QuestionSolve the equation $7(m+3)=84$ for the variable $m$ .

Assumptions1. The given equation is $7(m+3)=84$ . We are solving for the variable $m$

First, we need to distribute the $7$ across the $(m+)$ in the equation.
$7(m+) =7m +7*$

Calculate the multiplication.
$7m +7*3 =7m +21$

Now we have the equation $7m +21 =84$ . The next step is to isolate the term with $m$ on one side of the equation. We can do this by subtracting $21$ from both sides of the equation.
$7m +21 -21 =84 -21$

Calculate the subtraction.
$7m =84 -21 =63$

Now we have the equation $m =63$ . To solve for $m$ , we need to divide both sides of the equation by $$.
$m / =63 /$

Calculate the division.
$m =63 /7 =9$ So, the solution to the equation $7(m+3)=84$ is $m=9$ .