12+2(k+3)=3k-6

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Solution for 12+2(k+3)=3k-6 equation:


Simplifying
12 + 2(k + 3) = 3k + -6

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

Combine like terms: 12 + 6 = 18
18 + 2k = 3k + -6

Reorder the terms:
18 + 2k = -6 + 3k

Solving
18 + 2k = -6 + 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.
18 + 2k + -3k = -6 + 3k + -3k

Combine like terms: 2k + -3k = -1k
18 + -1k = -6 + 3k + -3k

Combine like terms: 3k + -3k = 0
18 + -1k = -6 + 0
18 + -1k = -6

Add '-18' to each side of the equation.
18 + -18 + -1k = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -1k = -6 + -18
-1k = -6 + -18

Combine like terms: -6 + -18 = -24
-1k = -24

Divide each side by '-1'.
k = 24

Simplifying
k = 24

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