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Simplifying 5(m + 6) = 2(3m + -8) Reorder the terms: 5(6 + m) = 2(3m + -8) (6 * 5 + m * 5) = 2(3m + -8) (30 + 5m) = 2(3m + -8) Reorder the terms: 30 + 5m = 2(-8 + 3m) 30 + 5m = (-8 * 2 + 3m * 2) 30 + 5m = (-16 + 6m) Solving 30 + 5m = -16 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 30 + 5m + -6m = -16 + 6m + -6m Combine like terms: 5m + -6m = -1m 30 + -1m = -16 + 6m + -6m Combine like terms: 6m + -6m = 0 30 + -1m = -16 + 0 30 + -1m = -16 Add '-30' to each side of the equation. 30 + -30 + -1m = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -1m = -16 + -30 -1m = -16 + -30 Combine like terms: -16 + -30 = -46 -1m = -46 Divide each side by '-1'. m = 46 Simplifying m = 46
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