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Simplifying 14 + -1(4m + 5) = 4 + 3m + -16 Reorder the terms: 14 + -1(5 + 4m) = 4 + 3m + -16 14 + (5 * -1 + 4m * -1) = 4 + 3m + -16 14 + (-5 + -4m) = 4 + 3m + -16 Combine like terms: 14 + -5 = 9 9 + -4m = 4 + 3m + -16 Reorder the terms: 9 + -4m = 4 + -16 + 3m Combine like terms: 4 + -16 = -12 9 + -4m = -12 + 3m Solving 9 + -4m = -12 + 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. 9 + -4m + -3m = -12 + 3m + -3m Combine like terms: -4m + -3m = -7m 9 + -7m = -12 + 3m + -3m Combine like terms: 3m + -3m = 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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