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Simplifying -1m + 4(3m + -1) = -32 + 4m Reorder the terms: -1m + 4(-1 + 3m) = -32 + 4m -1m + (-1 * 4 + 3m * 4) = -32 + 4m -1m + (-4 + 12m) = -32 + 4m Reorder the terms: -4 + -1m + 12m = -32 + 4m Combine like terms: -1m + 12m = 11m -4 + 11m = -32 + 4m Solving -4 + 11m = -32 + 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. -4 + 11m + -4m = -32 + 4m + -4m Combine like terms: 11m + -4m = 7m -4 + 7m = -32 + 4m + -4m Combine like terms: 4m + -4m = 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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