-3(k-1)-8k=-8(k-3)

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Solution for -3(k-1)-8k=-8(k-3) equation:


Simplifying
-3(k + -1) + -8k = -8(k + -3)

Reorder the terms:
-3(-1 + k) + -8k = -8(k + -3)
(-1 * -3 + k * -3) + -8k = -8(k + -3)
(3 + -3k) + -8k = -8(k + -3)

Combine like terms: -3k + -8k = -11k
3 + -11k = -8(k + -3)

Reorder the terms:
3 + -11k = -8(-3 + k)
3 + -11k = (-3 * -8 + k * -8)
3 + -11k = (24 + -8k)

Solving
3 + -11k = 24 + -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.
3 + -11k + 8k = 24 + -8k + 8k

Combine like terms: -11k + 8k = -3k
3 + -3k = 24 + -8k + 8k

Combine like terms: -8k + 8k = 0
3 + -3k = 24 + 0
3 + -3k = 24

Add '-3' to each side of the equation.
3 + -3 + -3k = 24 + -3

Combine like terms: 3 + -3 = 0
0 + -3k = 24 + -3
-3k = 24 + -3

Combine like terms: 24 + -3 = 21
-3k = 21

Divide each side by '-3'.
k = -7

Simplifying
k = -7

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