-5k+6(k-2)=-2k-12

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Solution for -5k+6(k-2)=-2k-12 equation:


Simplifying
-5k + 6(k + -2) = -2k + -12

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

Reorder the terms:
-12 + -5k + 6k = -2k + -12

Combine like terms: -5k + 6k = 1k
-12 + 1k = -2k + -12

Reorder the terms:
-12 + 1k = -12 + -2k

Add '12' to each side of the equation.
-12 + 12 + 1k = -12 + 12 + -2k

Combine like terms: -12 + 12 = 0
0 + 1k = -12 + 12 + -2k
1k = -12 + 12 + -2k

Combine like terms: -12 + 12 = 0
1k = 0 + -2k
1k = -2k

Solving
1k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
1k + 2k = -2k + 2k

Combine like terms: 1k + 2k = 3k
3k = -2k + 2k

Combine like terms: -2k + 2k = 0
3k = 0

Divide each side by '3'.
k = 0

Simplifying
k = 0

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