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Simplifying m + -1(5 + -3m) = 7m + 10 m + (5 * -1 + -3m * -1) = 7m + 10 m + (-5 + 3m) = 7m + 10 Reorder the terms: -5 + m + 3m = 7m + 10 Combine like terms: m + 3m = 4m -5 + 4m = 7m + 10 Reorder the terms: -5 + 4m = 10 + 7m Solving -5 + 4m = 10 + 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. -5 + 4m + -7m = 10 + 7m + -7m Combine like terms: 4m + -7m = -3m -5 + -3m = 10 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -3m = 10 + 0 -5 + -3m = 10 Add '5' to each side of the equation. -5 + 5 + -3m = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -3m = 10 + 5 -3m = 10 + 5 Combine like terms: 10 + 5 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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