9(k+4)-7k=32-2(1k+8)

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Solution for 9(k+4)-7k=32-2(1k+8) equation: 


Simplifying
9(k + 4) + -7k = 32 + -2(1k + 8)

Reorder the terms:
9(4 + k) + -7k = 32 + -2(1k + 8)
(4 * 9 + k * 9) + -7k = 32 + -2(1k + 8)
(36 + 9k) + -7k = 32 + -2(1k + 8)

Combine like terms: 9k + -7k = 2k
36 + 2k = 32 + -2(1k + 8)

Reorder the terms:
36 + 2k = 32 + -2(8 + 1k)
36 + 2k = 32 + (8 * -2 + 1k * -2)
36 + 2k = 32 + (-16 + -2k)

Combine like terms: 32 + -16 = 16
36 + 2k = 16 + -2k

Solving
36 + 2k = 16 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
36 + 2k + 2k = 16 + -2k + 2k

Combine like terms: 2k + 2k = 4k
36 + 4k = 16 + -2k + 2k

Combine like terms: -2k + 2k = 0
36 + 4k = 16 + 0
36 + 4k = 16

Add '-36' to each side of the equation.
36 + -36 + 4k = 16 + -36

Combine like terms: 36 + -36 = 0
0 + 4k = 16 + -36
4k = 16 + -36

Combine like terms: 16 + -36 = -20
4k = -20

Divide each side by '4'.
k = -5

Simplifying
k = -5

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