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Simplifying m * 20 = (m + -12) * 32 Reorder the terms for easier multiplication: 20m = (m + -12) * 32 Reorder the terms: 20m = (-12 + m) * 32 Reorder the terms for easier multiplication: 20m = 32(-12 + m) 20m = (-12 * 32 + m * 32) 20m = (-384 + 32m) Solving 20m = -384 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. 20m + -32m = -384 + 32m + -32m Combine like terms: 20m + -32m = -12m -12m = -384 + 32m + -32m Combine like terms: 32m + -32m = 0 -12m = -384 + 0 -12m = -384 Divide each side by '-12'. m = 32 Simplifying m = 32
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