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

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


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

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

Remove parenthesis around (3 + k)
12 + 3 + k = 3k + -6

Combine like terms: 12 + 3 = 15
15 + k = 3k + -6

Reorder the terms:
15 + k = -6 + 3k

Solving
15 + k = -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.
15 + k + -3k = -6 + 3k + -3k

Combine like terms: k + -3k = -2k
15 + -2k = -6 + 3k + -3k

Combine like terms: 3k + -3k = 0
15 + -2k = -6 + 0
15 + -2k = -6

Add '-15' to each side of the equation.
15 + -15 + -2k = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -2k = -6 + -15
-2k = -6 + -15

Combine like terms: -6 + -15 = -21
-2k = -21

Divide each side by '-2'.
k = 10.5

Simplifying
k = 10.5

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