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Simplifying -4(m + 5) + -7 = -3m + -32 Reorder the terms: -4(5 + m) + -7 = -3m + -32 (5 * -4 + m * -4) + -7 = -3m + -32 (-20 + -4m) + -7 = -3m + -32 Reorder the terms: -20 + -7 + -4m = -3m + -32 Combine like terms: -20 + -7 = -27 -27 + -4m = -3m + -32 Reorder the terms: -27 + -4m = -32 + -3m Solving -27 + -4m = -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. -27 + -4m + 3m = -32 + -3m + 3m Combine like terms: -4m + 3m = -1m -27 + -1m = -32 + -3m + 3m Combine like terms: -3m + 3m = 0 -27 + -1m = -32 + 0 -27 + -1m = -32 Add '27' to each side of the equation. -27 + 27 + -1m = -32 + 27 Combine like terms: -27 + 27 = 0 0 + -1m = -32 + 27 -1m = -32 + 27 Combine like terms: -32 + 27 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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