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