Solved on Sep 19, 2023

Find the number $n$ that satisfies the equation $6(n + 15) = -42$ .

STEP 1

Assumptions1. The equation is of the form $\square=-42$ . The square represents six times the sum of a number (n) and15

STEP 2

Let's write the equation according to the given problem. The equation is "Six times the sum of a number and15 is -42". We can write this as $6(n +15) = -42$

STEP 3

Now, we need to solve this equation for $n$ . First, distribute the6 to both $n$ and15.
$6n +90 = -42$

STEP 4

Next, we need to isolate $n$ by subtracting90 from both sides of the equation.
$6n = -42 -90$

STEP 5

Calculate the right side of the equation.
$n = -132$

STEP 6

Finally, divide both sides of the equation by6 to solve for $n$ .
$n = -132 /6$

STEP 7

Calculate the value of $n$ .
$n = -22$ The solution is $n=-22$ .

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Find the number $n$ that satisfies the equation $6(n + 15) = -42$ .

STEP 1

Assumptions1. The equation is of the form $\square=-42$ . The square represents six times the sum of a number (n) and15

STEP 2

Let's write the equation according to the given problem. The equation is "Six times the sum of a number and15 is -42". We can write this as $6(n +15) = -42$

STEP 3

Now, we need to solve this equation for $n$ . First, distribute the6 to both $n$ and15.
$6n +90 = -42$

STEP 4

Next, we need to isolate $n$ by subtracting90 from both sides of the equation.
$6n = -42 -90$

STEP 5

Calculate the right side of the equation.
$n = -132$

STEP 6

Finally, divide both sides of the equation by6 to solve for $n$ .
$n = -132 /6$

STEP 7

Calculate the value of $n$ .
$n = -22$ The solution is $n=-22$ .

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Find the number nnn that satisfies the equation 6(n+15)=−426(n + 15) = -426(n+15)=−42.

STEP 1

Assumptions1. The equation is of the form □=−42\square=-42□=−42 . The square represents six times the sum of a number (n) and15

STEP 2

Let's write the equation according to the given problem. The equation is "Six times the sum of a number and15 is -42". We can write this as6(n+15)=−426(n +15) = -426(n+15)=−42

STEP 3

Now, we need to solve this equation for nnn. First, distribute the6 to both nnn and15.6n+90=−426n +90 = -426n+90=−42

STEP 4

Next, we need to isolate nnn by subtracting90 from both sides of the equation.6n=−42−906n = -42 -906n=−42−90

STEP 5

Calculate the right side of the equation.n=−132n = -132n=−132

STEP 6

Finally, divide both sides of the equation by6 to solve for nnn.n=−132/6n = -132 /6n=−132/6

STEP 7

Calculate the value of nnn.n=−22n = -22n=−22The solution is n=−22n=-22n=−22.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the number $n$ that satisfies the equation $6(n + 15) = -42$ .

Assumptions1. The equation is of the form $\square=-42$ . The square represents six times the sum of a number (n) and15

Let's write the equation according to the given problem. The equation is "Six times the sum of a number and15 is -42". We can write this as $6(n +15) = -42$

Now, we need to solve this equation for $n$ . First, distribute the6 to both $n$ and15.
$6n +90 = -42$

Next, we need to isolate $n$ by subtracting90 from both sides of the equation.
$6n = -42 -90$

Calculate the right side of the equation.
$n = -132$

Finally, divide both sides of the equation by6 to solve for $n$ .
$n = -132 /6$

Calculate the value of $n$ .
$n = -22$ The solution is $n=-22$ .