9(k+1)-(-7k-7)=15k

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Solution for 9(k+1)-(-7k-7)=15k equation: 


Simplifying
9(k + 1) + -1(-7k + -7) = 15k

Reorder the terms:
9(1 + k) + -1(-7k + -7) = 15k
(1 * 9 + k * 9) + -1(-7k + -7) = 15k
(9 + 9k) + -1(-7k + -7) = 15k

Reorder the terms:
9 + 9k + -1(-7 + -7k) = 15k
9 + 9k + (-7 * -1 + -7k * -1) = 15k
9 + 9k + (7 + 7k) = 15k

Reorder the terms:
9 + 7 + 9k + 7k = 15k

Combine like terms: 9 + 7 = 16
16 + 9k + 7k = 15k

Combine like terms: 9k + 7k = 16k
16 + 16k = 15k

Solving
16 + 16k = 15k

Solving for variable 'k'.

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

Add '-15k' to each side of the equation.
16 + 16k + -15k = 15k + -15k

Combine like terms: 16k + -15k = 1k
16 + 1k = 15k + -15k

Combine like terms: 15k + -15k = 0
16 + 1k = 0

Add '-16' to each side of the equation.
16 + -16 + 1k = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 1k = 0 + -16
1k = 0 + -16

Combine like terms: 0 + -16 = -16
1k = -16

Divide each side by '1'.
k = -16

Simplifying
k = -16

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