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Simplifying 16 + -1(3m + 7) = 5 + 4m + -17 Reorder the terms: 16 + -1(7 + 3m) = 5 + 4m + -17 16 + (7 * -1 + 3m * -1) = 5 + 4m + -17 16 + (-7 + -3m) = 5 + 4m + -17 Combine like terms: 16 + -7 = 9 9 + -3m = 5 + 4m + -17 Reorder the terms: 9 + -3m = 5 + -17 + 4m Combine like terms: 5 + -17 = -12 9 + -3m = -12 + 4m Solving 9 + -3m = -12 + 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. 9 + -3m + -4m = -12 + 4m + -4m Combine like terms: -3m + -4m = -7m 9 + -7m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -7m = -12 + 0 9 + -7m = -12 Add '-9' to each side of the equation. 9 + -9 + -7m = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = -12 + -9 -7m = -12 + -9 Combine like terms: -12 + -9 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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