4(k+9)-(-5k-7)=8k

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Solution for 4(k+9)-(-5k-7)=8k equation:


Simplifying
4(k + 9) + -1(-5k + -7) = 8k

Reorder the terms:
4(9 + k) + -1(-5k + -7) = 8k
(9 * 4 + k * 4) + -1(-5k + -7) = 8k
(36 + 4k) + -1(-5k + -7) = 8k

Reorder the terms:
36 + 4k + -1(-7 + -5k) = 8k
36 + 4k + (-7 * -1 + -5k * -1) = 8k
36 + 4k + (7 + 5k) = 8k

Reorder the terms:
36 + 7 + 4k + 5k = 8k

Combine like terms: 36 + 7 = 43
43 + 4k + 5k = 8k

Combine like terms: 4k + 5k = 9k
43 + 9k = 8k

Solving
43 + 9k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
43 + 9k + -8k = 8k + -8k

Combine like terms: 9k + -8k = 1k
43 + 1k = 8k + -8k

Combine like terms: 8k + -8k = 0
43 + 1k = 0

Add '-43' to each side of the equation.
43 + -43 + 1k = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 1k = 0 + -43
1k = 0 + -43

Combine like terms: 0 + -43 = -43
1k = -43

Divide each side by '1'.
k = -43

Simplifying
k = -43

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