5(-6k-12)-10k=-10(3k-10)

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Solution for 5(-6k-12)-10k=-10(3k-10) equation:


Simplifying
5(-6k + -12) + -10k = -10(3k + -10)

Reorder the terms:
5(-12 + -6k) + -10k = -10(3k + -10)
(-12 * 5 + -6k * 5) + -10k = -10(3k + -10)
(-60 + -30k) + -10k = -10(3k + -10)

Combine like terms: -30k + -10k = -40k
-60 + -40k = -10(3k + -10)

Reorder the terms:
-60 + -40k = -10(-10 + 3k)
-60 + -40k = (-10 * -10 + 3k * -10)
-60 + -40k = (100 + -30k)

Solving
-60 + -40k = 100 + -30k

Solving for variable 'k'.

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

Add '30k' to each side of the equation.
-60 + -40k + 30k = 100 + -30k + 30k

Combine like terms: -40k + 30k = -10k
-60 + -10k = 100 + -30k + 30k

Combine like terms: -30k + 30k = 0
-60 + -10k = 100 + 0
-60 + -10k = 100

Add '60' to each side of the equation.
-60 + 60 + -10k = 100 + 60

Combine like terms: -60 + 60 = 0
0 + -10k = 100 + 60
-10k = 100 + 60

Combine like terms: 100 + 60 = 160
-10k = 160

Divide each side by '-10'.
k = -16

Simplifying
k = -16

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