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Simplifying 17 + -1(3m + 7) = 4 + 4m + -15 Reorder the terms: 17 + -1(7 + 3m) = 4 + 4m + -15 17 + (7 * -1 + 3m * -1) = 4 + 4m + -15 17 + (-7 + -3m) = 4 + 4m + -15 Combine like terms: 17 + -7 = 10 10 + -3m = 4 + 4m + -15 Reorder the terms: 10 + -3m = 4 + -15 + 4m Combine like terms: 4 + -15 = -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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