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Simplifying 15 + -1(3m + 5) = 3 + 4m + -14 Reorder the terms: 15 + -1(5 + 3m) = 3 + 4m + -14 15 + (5 * -1 + 3m * -1) = 3 + 4m + -14 15 + (-5 + -3m) = 3 + 4m + -14 Combine like terms: 15 + -5 = 10 10 + -3m = 3 + 4m + -14 Reorder the terms: 10 + -3m = 3 + -14 + 4m Combine like terms: 3 + -14 = -11 10 + -3m = -11 + 4m Solving 10 + -3m = -11 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + -3m + -4m = -11 + 4m + -4m Combine like terms: -3m + -4m = -7m 10 + -7m = -11 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + -7m = -11 + 0 10 + -7m = -11 Add '-10' to each side of the equation. 10 + -10 + -7m = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = -11 + -10 -7m = -11 + -10 Combine like terms: -11 + -10 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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