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Simplifying 12 + -1(5m + 3) = 4 + 2m + -16 Reorder the terms: 12 + -1(3 + 5m) = 4 + 2m + -16 12 + (3 * -1 + 5m * -1) = 4 + 2m + -16 12 + (-3 + -5m) = 4 + 2m + -16 Combine like terms: 12 + -3 = 9 9 + -5m = 4 + 2m + -16 Reorder the terms: 9 + -5m = 4 + -16 + 2m Combine like terms: 4 + -16 = -12 9 + -5m = -12 + 2m Solving 9 + -5m = -12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + -5m + -2m = -12 + 2m + -2m Combine like terms: -5m + -2m = -7m 9 + -7m = -12 + 2m + -2m Combine like terms: 2m + -2m = 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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