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Simplifying 9m + -4 = 5m + -1(3m + 32) Reorder the terms: -4 + 9m = 5m + -1(3m + 32) Reorder the terms: -4 + 9m = 5m + -1(32 + 3m) -4 + 9m = 5m + (32 * -1 + 3m * -1) -4 + 9m = 5m + (-32 + -3m) Reorder the terms: -4 + 9m = -32 + 5m + -3m Combine like terms: 5m + -3m = 2m -4 + 9m = -32 + 2m Solving -4 + 9m = -32 + 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. -4 + 9m + -2m = -32 + 2m + -2m Combine like terms: 9m + -2m = 7m -4 + 7m = -32 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + 7m = -32 + 0 -4 + 7m = -32 Add '4' to each side of the equation. -4 + 4 + 7m = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 7m = -32 + 4 7m = -32 + 4 Combine like terms: -32 + 4 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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