Math

Question Solve for kk in the equation 7(9+k)=847(9+k)=84.

Studdy Solution

STEP 1

Assumptions
1. We have the equation 7(9+k)=847(9+k)=84.
2. We need to solve for the variable kk.

STEP 2

First, we need to distribute the 7 across the terms inside the parentheses.
7×9+7×k=847 \times 9 + 7 \times k = 84

STEP 3

Perform the multiplication for the first term.
63+7k=8463 + 7k = 84

STEP 4

Now, we need to isolate the term with the variable kk on one side of the equation. To do this, we will subtract 63 from both sides of the equation.
63+7k63=846363 + 7k - 63 = 84 - 63

STEP 5

Simplify both sides of the equation.
7k=217k = 21

STEP 6

To find the value of kk, we will divide both sides of the equation by 7.
7k7=217\frac{7k}{7} = \frac{21}{7}

STEP 7

Simplify the equation to solve for kk.
k=3k = 3
The solution to the equation 7(9+k)=847(9+k)=84 is k=3k = 3.

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