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Simplifying 12m + 36 = 12(2m + -8) Reorder the terms: 36 + 12m = 12(2m + -8) Reorder the terms: 36 + 12m = 12(-8 + 2m) 36 + 12m = (-8 * 12 + 2m * 12) 36 + 12m = (-96 + 24m) Solving 36 + 12m = -96 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 36 + 12m + -24m = -96 + 24m + -24m Combine like terms: 12m + -24m = -12m 36 + -12m = -96 + 24m + -24m Combine like terms: 24m + -24m = 0 36 + -12m = -96 + 0 36 + -12m = -96 Add '-36' to each side of the equation. 36 + -36 + -12m = -96 + -36 Combine like terms: 36 + -36 = 0 0 + -12m = -96 + -36 -12m = -96 + -36 Combine like terms: -96 + -36 = -132 -12m = -132 Divide each side by '-12'. m = 11 Simplifying m = 11
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