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Simplifying -3m + 30 = 5m + -10 Reorder the terms: 30 + -3m = 5m + -10 Reorder the terms: 30 + -3m = -10 + 5m Solving 30 + -3m = -10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 30 + -3m + -5m = -10 + 5m + -5m Combine like terms: -3m + -5m = -8m 30 + -8m = -10 + 5m + -5m Combine like terms: 5m + -5m = 0 30 + -8m = -10 + 0 30 + -8m = -10 Add '-30' to each side of the equation. 30 + -30 + -8m = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -8m = -10 + -30 -8m = -10 + -30 Combine like terms: -10 + -30 = -40 -8m = -40 Divide each side by '-8'. m = 5 Simplifying m = 5
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