116=4-4(2+6k)

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Solution for 116=4-4(2+6k) equation:


Simplifying
116 = 4 + -4(2 + 6k)
116 = 4 + (2 * -4 + 6k * -4)
116 = 4 + (-8 + -24k)

Combine like terms: 4 + -8 = -4
116 = -4 + -24k

Solving
116 = -4 + -24k

Solving for variable 'k'.

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

Add '24k' to each side of the equation.
116 + 24k = -4 + -24k + 24k

Combine like terms: -24k + 24k = 0
116 + 24k = -4 + 0
116 + 24k = -4

Add '-116' to each side of the equation.
116 + -116 + 24k = -4 + -116

Combine like terms: 116 + -116 = 0
0 + 24k = -4 + -116
24k = -4 + -116

Combine like terms: -4 + -116 = -120
24k = -120

Divide each side by '24'.
k = -5

Simplifying
k = -5

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