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

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


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

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

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

Solving
10 + 2k = 12 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
10 + 2k + 6k = 12 + -6k + 6k

Combine like terms: 2k + 6k = 8k
10 + 8k = 12 + -6k + 6k

Combine like terms: -6k + 6k = 0
10 + 8k = 12 + 0
10 + 8k = 12

Add '-10' to each side of the equation.
10 + -10 + 8k = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 8k = 12 + -10
8k = 12 + -10

Combine like terms: 12 + -10 = 2
8k = 2

Divide each side by '8'.
k = 0.25

Simplifying
k = 0.25

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