31-8k=-3(k-7)

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Solution for 31-8k=-3(k-7) equation: 


Simplifying
31 + -8k = -3(k + -7)

Reorder the terms:
31 + -8k = -3(-7 + k)
31 + -8k = (-7 * -3 + k * -3)
31 + -8k = (21 + -3k)

Solving
31 + -8k = 21 + -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.
31 + -8k + 3k = 21 + -3k + 3k

Combine like terms: -8k + 3k = -5k
31 + -5k = 21 + -3k + 3k

Combine like terms: -3k + 3k = 0
31 + -5k = 21 + 0
31 + -5k = 21

Add '-31' to each side of the equation.
31 + -31 + -5k = 21 + -31

Combine like terms: 31 + -31 = 0
0 + -5k = 21 + -31
-5k = 21 + -31

Combine like terms: 21 + -31 = -10
-5k = -10

Divide each side by '-5'.
k = 2

Simplifying
k = 2

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