86=5k-2(1+8k)

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Solution for 86=5k-2(1+8k) equation:


Simplifying
86 = 5k + -2(1 + 8k)
86 = 5k + (1 * -2 + 8k * -2)
86 = 5k + (-2 + -16k)

Reorder the terms:
86 = -2 + 5k + -16k

Combine like terms: 5k + -16k = -11k
86 = -2 + -11k

Solving
86 = -2 + -11k

Solving for variable 'k'.

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

Add '11k' to each side of the equation.
86 + 11k = -2 + -11k + 11k

Combine like terms: -11k + 11k = 0
86 + 11k = -2 + 0
86 + 11k = -2

Add '-86' to each side of the equation.
86 + -86 + 11k = -2 + -86

Combine like terms: 86 + -86 = 0
0 + 11k = -2 + -86
11k = -2 + -86

Combine like terms: -2 + -86 = -88
11k = -88

Divide each side by '11'.
k = -8

Simplifying
k = -8

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