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Simplifying 32 + -4m = -8 + 2(-4m + 6) Reorder the terms: 32 + -4m = -8 + 2(6 + -4m) 32 + -4m = -8 + (6 * 2 + -4m * 2) 32 + -4m = -8 + (12 + -8m) Combine like terms: -8 + 12 = 4 32 + -4m = 4 + -8m Solving 32 + -4m = 4 + -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 + -4m + 8m = 4 + -8m + 8m Combine like terms: -4m + 8m = 4m 32 + 4m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 32 + 4m = 4 + 0 32 + 4m = 4 Add '-32' to each side of the equation. 32 + -32 + 4m = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4m = 4 + -32 4m = 4 + -32 Combine like terms: 4 + -32 = -28 4m = -28 Divide each side by '4'. m = -7 Simplifying m = -7
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