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Simplifying m + 42 = 5m + -10 Reorder the terms: 42 + m = 5m + -10 Reorder the terms: 42 + m = -10 + 5m Solving 42 + m = -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. 42 + m + -5m = -10 + 5m + -5m Combine like terms: m + -5m = -4m 42 + -4m = -10 + 5m + -5m Combine like terms: 5m + -5m = 0 42 + -4m = -10 + 0 42 + -4m = -10 Add '-42' to each side of the equation. 42 + -42 + -4m = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -4m = -10 + -42 -4m = -10 + -42 Combine like terms: -10 + -42 = -52 -4m = -52 Divide each side by '-4'. m = 13 Simplifying m = 13
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