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Simplifying 3m + -32 = 4(2m + 2) Reorder the terms: -32 + 3m = 4(2m + 2) Reorder the terms: -32 + 3m = 4(2 + 2m) -32 + 3m = (2 * 4 + 2m * 4) -32 + 3m = (8 + 8m) Solving -32 + 3m = 8 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -32 + 3m + -8m = 8 + 8m + -8m Combine like terms: 3m + -8m = -5m -32 + -5m = 8 + 8m + -8m Combine like terms: 8m + -8m = 0 -32 + -5m = 8 + 0 -32 + -5m = 8 Add '32' to each side of the equation. -32 + 32 + -5m = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5m = 8 + 32 -5m = 8 + 32 Combine like terms: 8 + 32 = 40 -5m = 40 Divide each side by '-5'. m = -8 Simplifying m = -8
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