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Simplifying 17 + -1(4m + 7) = 3 + 3m + -14 Reorder the terms: 17 + -1(7 + 4m) = 3 + 3m + -14 17 + (7 * -1 + 4m * -1) = 3 + 3m + -14 17 + (-7 + -4m) = 3 + 3m + -14 Combine like terms: 17 + -7 = 10 10 + -4m = 3 + 3m + -14 Reorder the terms: 10 + -4m = 3 + -14 + 3m Combine like terms: 3 + -14 = -11 10 + -4m = -11 + 3m Solving 10 + -4m = -11 + 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. 10 + -4m + -3m = -11 + 3m + -3m Combine like terms: -4m + -3m = -7m 10 + -7m = -11 + 3m + -3m Combine like terms: 3m + -3m = 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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