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Simplifying 2(8m + -4) = -32 + 8m Reorder the terms: 2(-4 + 8m) = -32 + 8m (-4 * 2 + 8m * 2) = -32 + 8m (-8 + 16m) = -32 + 8m Solving -8 + 16m = -32 + 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. -8 + 16m + -8m = -32 + 8m + -8m Combine like terms: 16m + -8m = 8m -8 + 8m = -32 + 8m + -8m Combine like terms: 8m + -8m = 0 -8 + 8m = -32 + 0 -8 + 8m = -32 Add '8' to each side of the equation. -8 + 8 + 8m = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 8m = -32 + 8 8m = -32 + 8 Combine like terms: -32 + 8 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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