8(k+11)+7=3k-12

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Solution for 8(k+11)+7=3k-12 equation: 


Simplifying
8(k + 11) + 7 = 3k + -12

Reorder the terms:
8(11 + k) + 7 = 3k + -12
(11 * 8 + k * 8) + 7 = 3k + -12
(88 + 8k) + 7 = 3k + -12

Reorder the terms:
88 + 7 + 8k = 3k + -12

Combine like terms: 88 + 7 = 95
95 + 8k = 3k + -12

Reorder the terms:
95 + 8k = -12 + 3k

Solving
95 + 8k = -12 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
95 + 8k + -3k = -12 + 3k + -3k

Combine like terms: 8k + -3k = 5k
95 + 5k = -12 + 3k + -3k

Combine like terms: 3k + -3k = 0
95 + 5k = -12 + 0
95 + 5k = -12

Add '-95' to each side of the equation.
95 + -95 + 5k = -12 + -95

Combine like terms: 95 + -95 = 0
0 + 5k = -12 + -95
5k = -12 + -95

Combine like terms: -12 + -95 = -107
5k = -107

Divide each side by '5'.
k = -21.4

Simplifying
k = -21.4

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