3(k+5)=-2(5k-6)

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Solution for 3(k+5)=-2(5k-6) equation:


Simplifying
3(k + 5) = -2(5k + -6)

Reorder the terms:
3(5 + k) = -2(5k + -6)
(5 * 3 + k * 3) = -2(5k + -6)
(15 + 3k) = -2(5k + -6)

Reorder the terms:
15 + 3k = -2(-6 + 5k)
15 + 3k = (-6 * -2 + 5k * -2)
15 + 3k = (12 + -10k)

Solving
15 + 3k = 12 + -10k

Solving for variable 'k'.

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

Add '10k' to each side of the equation.
15 + 3k + 10k = 12 + -10k + 10k

Combine like terms: 3k + 10k = 13k
15 + 13k = 12 + -10k + 10k

Combine like terms: -10k + 10k = 0
15 + 13k = 12 + 0
15 + 13k = 12

Add '-15' to each side of the equation.
15 + -15 + 13k = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 13k = 12 + -15
13k = 12 + -15

Combine like terms: 12 + -15 = -3
13k = -3

Divide each side by '13'.
k = -0.2307692308

Simplifying
k = -0.2307692308

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