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Simplifying 8(2m + -4) = 4(3 + 6m) Reorder the terms: 8(-4 + 2m) = 4(3 + 6m) (-4 * 8 + 2m * 8) = 4(3 + 6m) (-32 + 16m) = 4(3 + 6m) -32 + 16m = (3 * 4 + 6m * 4) -32 + 16m = (12 + 24m) Solving -32 + 16m = 12 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -32 + 16m + -24m = 12 + 24m + -24m Combine like terms: 16m + -24m = -8m -32 + -8m = 12 + 24m + -24m Combine like terms: 24m + -24m = 0 -32 + -8m = 12 + 0 -32 + -8m = 12 Add '32' to each side of the equation. -32 + 32 + -8m = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -8m = 12 + 32 -8m = 12 + 32 Combine like terms: 12 + 32 = 44 -8m = 44 Divide each side by '-8'. m = -5.5 Simplifying m = -5.5
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