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Simplifying -3m + 32 + -5(m + -1) = 5m + -1(4m + -7) + -2m + 9 Reorder the terms: -3m + 32 + -5(-1 + m) = 5m + -1(4m + -7) + -2m + 9 -3m + 32 + (-1 * -5 + m * -5) = 5m + -1(4m + -7) + -2m + 9 -3m + 32 + (5 + -5m) = 5m + -1(4m + -7) + -2m + 9 Reorder the terms: 32 + 5 + -3m + -5m = 5m + -1(4m + -7) + -2m + 9 Combine like terms: 32 + 5 = 37 37 + -3m + -5m = 5m + -1(4m + -7) + -2m + 9 Combine like terms: -3m + -5m = -8m 37 + -8m = 5m + -1(4m + -7) + -2m + 9 Reorder the terms: 37 + -8m = 5m + -1(-7 + 4m) + -2m + 9 37 + -8m = 5m + (-7 * -1 + 4m * -1) + -2m + 9 37 + -8m = 5m + (7 + -4m) + -2m + 9 Reorder the terms: 37 + -8m = 7 + 9 + 5m + -4m + -2m Combine like terms: 7 + 9 = 16 37 + -8m = 16 + 5m + -4m + -2m Combine like terms: 5m + -4m = 1m 37 + -8m = 16 + 1m + -2m Combine like terms: 1m + -2m = -1m 37 + -8m = 16 + -1m Solving 37 + -8m = 16 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 37 + -8m + m = 16 + -1m + m Combine like terms: -8m + m = -7m 37 + -7m = 16 + -1m + m Combine like terms: -1m + m = 0 37 + -7m = 16 + 0 37 + -7m = 16 Add '-37' to each side of the equation. 37 + -37 + -7m = 16 + -37 Combine like terms: 37 + -37 = 0 0 + -7m = 16 + -37 -7m = 16 + -37 Combine like terms: 16 + -37 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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