4k+7=3(4k-12)+83

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Solution for 4k+7=3(4k-12)+83 equation:


Simplifying
4k + 7 = 3(4k + -12) + 83

Reorder the terms:
7 + 4k = 3(4k + -12) + 83

Reorder the terms:
7 + 4k = 3(-12 + 4k) + 83
7 + 4k = (-12 * 3 + 4k * 3) + 83
7 + 4k = (-36 + 12k) + 83

Reorder the terms:
7 + 4k = -36 + 83 + 12k

Combine like terms: -36 + 83 = 47
7 + 4k = 47 + 12k

Solving
7 + 4k = 47 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
7 + 4k + -12k = 47 + 12k + -12k

Combine like terms: 4k + -12k = -8k
7 + -8k = 47 + 12k + -12k

Combine like terms: 12k + -12k = 0
7 + -8k = 47 + 0
7 + -8k = 47

Add '-7' to each side of the equation.
7 + -7 + -8k = 47 + -7

Combine like terms: 7 + -7 = 0
0 + -8k = 47 + -7
-8k = 47 + -7

Combine like terms: 47 + -7 = 40
-8k = 40

Divide each side by '-8'.
k = -5

Simplifying
k = -5

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