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Simplifying 17 + -1(4m + 5) = 5 + 3m + -14 Reorder the terms: 17 + -1(5 + 4m) = 5 + 3m + -14 17 + (5 * -1 + 4m * -1) = 5 + 3m + -14 17 + (-5 + -4m) = 5 + 3m + -14 Combine like terms: 17 + -5 = 12 12 + -4m = 5 + 3m + -14 Reorder the terms: 12 + -4m = 5 + -14 + 3m Combine like terms: 5 + -14 = -9 12 + -4m = -9 + 3m Solving 12 + -4m = -9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + -4m + -3m = -9 + 3m + -3m Combine like terms: -4m + -3m = -7m 12 + -7m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -7m = -9 + 0 12 + -7m = -9 Add '-12' to each side of the equation. 12 + -12 + -7m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7m = -9 + -12 -7m = -9 + -12 Combine like terms: -9 + -12 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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