-8k+7(4k-2)=-114

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Solution for -8k+7(4k-2)=-114 equation:


Simplifying
-8k + 7(4k + -2) = -114

Reorder the terms:
-8k + 7(-2 + 4k) = -114
-8k + (-2 * 7 + 4k * 7) = -114
-8k + (-14 + 28k) = -114

Reorder the terms:
-14 + -8k + 28k = -114

Combine like terms: -8k + 28k = 20k
-14 + 20k = -114

Solving
-14 + 20k = -114

Solving for variable 'k'.

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

Add '14' to each side of the equation.
-14 + 14 + 20k = -114 + 14

Combine like terms: -14 + 14 = 0
0 + 20k = -114 + 14
20k = -114 + 14

Combine like terms: -114 + 14 = -100
20k = -100

Divide each side by '20'.
k = -5

Simplifying
k = -5

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