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Simplifying 2(m + 12) = 7(m + -8) Reorder the terms: 2(12 + m) = 7(m + -8) (12 * 2 + m * 2) = 7(m + -8) (24 + 2m) = 7(m + -8) Reorder the terms: 24 + 2m = 7(-8 + m) 24 + 2m = (-8 * 7 + m * 7) 24 + 2m = (-56 + 7m) Solving 24 + 2m = -56 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 24 + 2m + -7m = -56 + 7m + -7m Combine like terms: 2m + -7m = -5m 24 + -5m = -56 + 7m + -7m Combine like terms: 7m + -7m = 0 24 + -5m = -56 + 0 24 + -5m = -56 Add '-24' to each side of the equation. 24 + -24 + -5m = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = -56 + -24 -5m = -56 + -24 Combine like terms: -56 + -24 = -80 -5m = -80 Divide each side by '-5'. m = 16 Simplifying m = 16
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