3+3(k+3)=(k-2)+9

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Solution for 3+3(k+3)=(k-2)+9 equation: 


Simplifying
3 + 3(k + 3) = (k + -2) + 9

Reorder the terms:
3 + 3(3 + k) = (k + -2) + 9
3 + (3 * 3 + k * 3) = (k + -2) + 9
3 + (9 + 3k) = (k + -2) + 9

Combine like terms: 3 + 9 = 12
12 + 3k = (k + -2) + 9

Reorder the terms:
12 + 3k = (-2 + k) + 9

Remove parenthesis around (-2 + k)
12 + 3k = -2 + k + 9

Reorder the terms:
12 + 3k = -2 + 9 + k

Combine like terms: -2 + 9 = 7
12 + 3k = 7 + k

Solving
12 + 3k = 7 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
12 + 3k + -1k = 7 + k + -1k

Combine like terms: 3k + -1k = 2k
12 + 2k = 7 + k + -1k

Combine like terms: k + -1k = 0
12 + 2k = 7 + 0
12 + 2k = 7

Add '-12' to each side of the equation.
12 + -12 + 2k = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 2k = 7 + -12
2k = 7 + -12

Combine like terms: 7 + -12 = -5
2k = -5

Divide each side by '2'.
k = -2.5

Simplifying
k = -2.5

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