2(k+4)=3(k-6)

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Solution for 2(k+4)=3(k-6) equation: 


Simplifying
2(k + 4) = 3(k + -6)

Reorder the terms:
2(4 + k) = 3(k + -6)
(4 * 2 + k * 2) = 3(k + -6)
(8 + 2k) = 3(k + -6)

Reorder the terms:
8 + 2k = 3(-6 + k)
8 + 2k = (-6 * 3 + k * 3)
8 + 2k = (-18 + 3k)

Solving
8 + 2k = -18 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
8 + 2k + -3k = -18 + 3k + -3k

Combine like terms: 2k + -3k = -1k
8 + -1k = -18 + 3k + -3k

Combine like terms: 3k + -3k = 0
8 + -1k = -18 + 0
8 + -1k = -18

Add '-8' to each side of the equation.
8 + -8 + -1k = -18 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = -18 + -8
-1k = -18 + -8

Combine like terms: -18 + -8 = -26
-1k = -26

Divide each side by '-1'.
k = 26

Simplifying
k = 26

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