-4(-k-8)-7=30+5k

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Solution for -4(-k-8)-7=30+5k equation:


Simplifying
-4(-1k + -8) + -7 = 30 + 5k

Reorder the terms:
-4(-8 + -1k) + -7 = 30 + 5k
(-8 * -4 + -1k * -4) + -7 = 30 + 5k
(32 + 4k) + -7 = 30 + 5k

Reorder the terms:
32 + -7 + 4k = 30 + 5k

Combine like terms: 32 + -7 = 25
25 + 4k = 30 + 5k

Solving
25 + 4k = 30 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
25 + 4k + -5k = 30 + 5k + -5k

Combine like terms: 4k + -5k = -1k
25 + -1k = 30 + 5k + -5k

Combine like terms: 5k + -5k = 0
25 + -1k = 30 + 0
25 + -1k = 30

Add '-25' to each side of the equation.
25 + -25 + -1k = 30 + -25

Combine like terms: 25 + -25 = 0
0 + -1k = 30 + -25
-1k = 30 + -25

Combine like terms: 30 + -25 = 5
-1k = 5

Divide each side by '-1'.
k = -5

Simplifying
k = -5

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