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Simplifying -4(6m + 8) = -8(4m + -2) Reorder the terms: -4(8 + 6m) = -8(4m + -2) (8 * -4 + 6m * -4) = -8(4m + -2) (-32 + -24m) = -8(4m + -2) Reorder the terms: -32 + -24m = -8(-2 + 4m) -32 + -24m = (-2 * -8 + 4m * -8) -32 + -24m = (16 + -32m) Solving -32 + -24m = 16 + -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. -32 + -24m + 32m = 16 + -32m + 32m Combine like terms: -24m + 32m = 8m -32 + 8m = 16 + -32m + 32m Combine like terms: -32m + 32m = 0 -32 + 8m = 16 + 0 -32 + 8m = 16 Add '32' to each side of the equation. -32 + 32 + 8m = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 8m = 16 + 32 8m = 16 + 32 Combine like terms: 16 + 32 = 48 8m = 48 Divide each side by '8'. m = 6 Simplifying m = 6
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