87=7-8(k-2)

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Solution for 87=7-8(k-2) equation: 


Simplifying
87 = 7 + -8(k + -2)

Reorder the terms:
87 = 7 + -8(-2 + k)
87 = 7 + (-2 * -8 + k * -8)
87 = 7 + (16 + -8k)

Combine like terms: 7 + 16 = 23
87 = 23 + -8k

Solving
87 = 23 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
87 + 8k = 23 + -8k + 8k

Combine like terms: -8k + 8k = 0
87 + 8k = 23 + 0
87 + 8k = 23

Add '-87' to each side of the equation.
87 + -87 + 8k = 23 + -87

Combine like terms: 87 + -87 = 0
0 + 8k = 23 + -87
8k = 23 + -87

Combine like terms: 23 + -87 = -64
8k = -64

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

Simplifying
k = -8

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