4k+8k=2(10+8k)-12(k-9)

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Solution for 4k+8k=2(10+8k)-12(k-9) equation: 


Simplifying
4k + 8k = 2(10 + 8k) + -12(k + -9)

Combine like terms: 4k + 8k = 12k
12k = 2(10 + 8k) + -12(k + -9)
12k = (10 * 2 + 8k * 2) + -12(k + -9)
12k = (20 + 16k) + -12(k + -9)

Reorder the terms:
12k = 20 + 16k + -12(-9 + k)
12k = 20 + 16k + (-9 * -12 + k * -12)
12k = 20 + 16k + (108 + -12k)

Reorder the terms:
12k = 20 + 108 + 16k + -12k

Combine like terms: 20 + 108 = 128
12k = 128 + 16k + -12k

Combine like terms: 16k + -12k = 4k
12k = 128 + 4k

Solving
12k = 128 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
12k + -4k = 128 + 4k + -4k

Combine like terms: 12k + -4k = 8k
8k = 128 + 4k + -4k

Combine like terms: 4k + -4k = 0
8k = 128 + 0
8k = 128

Divide each side by '8'.
k = 16

Simplifying
k = 16

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