-2(-12+9k)=-3(4k+11)+3

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Solution for -2(-12+9k)=-3(4k+11)+3 equation:


Simplifying
-2(-12 + 9k) = -3(4k + 11) + 3
(-12 * -2 + 9k * -2) = -3(4k + 11) + 3
(24 + -18k) = -3(4k + 11) + 3

Reorder the terms:
24 + -18k = -3(11 + 4k) + 3
24 + -18k = (11 * -3 + 4k * -3) + 3
24 + -18k = (-33 + -12k) + 3

Reorder the terms:
24 + -18k = -33 + 3 + -12k

Combine like terms: -33 + 3 = -30
24 + -18k = -30 + -12k

Solving
24 + -18k = -30 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
24 + -18k + 12k = -30 + -12k + 12k

Combine like terms: -18k + 12k = -6k
24 + -6k = -30 + -12k + 12k

Combine like terms: -12k + 12k = 0
24 + -6k = -30 + 0
24 + -6k = -30

Add '-24' to each side of the equation.
24 + -24 + -6k = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -6k = -30 + -24
-6k = -30 + -24

Combine like terms: -30 + -24 = -54
-6k = -54

Divide each side by '-6'.
k = 9

Simplifying
k = 9

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