9(2k+3)+2=11(k-12)

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Solution for 9(2k+3)+2=11(k-12) equation: 


Simplifying
9(2k + 3) + 2 = 11(k + -12)

Reorder the terms:
9(3 + 2k) + 2 = 11(k + -12)
(3 * 9 + 2k * 9) + 2 = 11(k + -12)
(27 + 18k) + 2 = 11(k + -12)

Reorder the terms:
27 + 2 + 18k = 11(k + -12)

Combine like terms: 27 + 2 = 29
29 + 18k = 11(k + -12)

Reorder the terms:
29 + 18k = 11(-12 + k)
29 + 18k = (-12 * 11 + k * 11)
29 + 18k = (-132 + 11k)

Solving
29 + 18k = -132 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
29 + 18k + -11k = -132 + 11k + -11k

Combine like terms: 18k + -11k = 7k
29 + 7k = -132 + 11k + -11k

Combine like terms: 11k + -11k = 0
29 + 7k = -132 + 0
29 + 7k = -132

Add '-29' to each side of the equation.
29 + -29 + 7k = -132 + -29

Combine like terms: 29 + -29 = 0
0 + 7k = -132 + -29
7k = -132 + -29

Combine like terms: -132 + -29 = -161
7k = -161

Divide each side by '7'.
k = -23

Simplifying
k = -23

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