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Simplifying 4(6m + 4) = -4(8 + -4m) Reorder the terms: 4(4 + 6m) = -4(8 + -4m) (4 * 4 + 6m * 4) = -4(8 + -4m) (16 + 24m) = -4(8 + -4m) 16 + 24m = (8 * -4 + -4m * -4) 16 + 24m = (-32 + 16m) Solving 16 + 24m = -32 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 16 + 24m + -16m = -32 + 16m + -16m Combine like terms: 24m + -16m = 8m 16 + 8m = -32 + 16m + -16m Combine like terms: 16m + -16m = 0 16 + 8m = -32 + 0 16 + 8m = -32 Add '-16' to each side of the equation. 16 + -16 + 8m = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8m = -32 + -16 8m = -32 + -16 Combine like terms: -32 + -16 = -48 8m = -48 Divide each side by '8'. m = -6 Simplifying m = -6
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