-4+3(k-1)=-5(k-5)-8k

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Solution for -4+3(k-1)=-5(k-5)-8k equation: 


Simplifying
-4 + 3(k + -1) = -5(k + -5) + -8k

Reorder the terms:
-4 + 3(-1 + k) = -5(k + -5) + -8k
-4 + (-1 * 3 + k * 3) = -5(k + -5) + -8k
-4 + (-3 + 3k) = -5(k + -5) + -8k

Combine like terms: -4 + -3 = -7
-7 + 3k = -5(k + -5) + -8k

Reorder the terms:
-7 + 3k = -5(-5 + k) + -8k
-7 + 3k = (-5 * -5 + k * -5) + -8k
-7 + 3k = (25 + -5k) + -8k

Combine like terms: -5k + -8k = -13k
-7 + 3k = 25 + -13k

Solving
-7 + 3k = 25 + -13k

Solving for variable 'k'.

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

Add '13k' to each side of the equation.
-7 + 3k + 13k = 25 + -13k + 13k

Combine like terms: 3k + 13k = 16k
-7 + 16k = 25 + -13k + 13k

Combine like terms: -13k + 13k = 0
-7 + 16k = 25 + 0
-7 + 16k = 25

Add '7' to each side of the equation.
-7 + 7 + 16k = 25 + 7

Combine like terms: -7 + 7 = 0
0 + 16k = 25 + 7
16k = 25 + 7

Combine like terms: 25 + 7 = 32
16k = 32

Divide each side by '16'.
k = 2

Simplifying
k = 2

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