9(k+2)-8(k+6)=7

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Solution for 9(k+2)-8(k+6)=7 equation:


Simplifying
9(k + 2) + -8(k + 6) = 7

Reorder the terms:
9(2 + k) + -8(k + 6) = 7
(2 * 9 + k * 9) + -8(k + 6) = 7
(18 + 9k) + -8(k + 6) = 7

Reorder the terms:
18 + 9k + -8(6 + k) = 7
18 + 9k + (6 * -8 + k * -8) = 7
18 + 9k + (-48 + -8k) = 7

Reorder the terms:
18 + -48 + 9k + -8k = 7

Combine like terms: 18 + -48 = -30
-30 + 9k + -8k = 7

Combine like terms: 9k + -8k = 1k
-30 + 1k = 7

Solving
-30 + 1k = 7

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '30' to each side of the equation.
-30 + 30 + 1k = 7 + 30

Combine like terms: -30 + 30 = 0
0 + 1k = 7 + 30
1k = 7 + 30

Combine like terms: 7 + 30 = 37
1k = 37

Divide each side by '1'.
k = 37

Simplifying
k = 37

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