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Simplifying -4 + 4(4m + 8) = 4m + 16 Reorder the terms: -4 + 4(8 + 4m) = 4m + 16 -4 + (8 * 4 + 4m * 4) = 4m + 16 -4 + (32 + 16m) = 4m + 16 Combine like terms: -4 + 32 = 28 28 + 16m = 4m + 16 Reorder the terms: 28 + 16m = 16 + 4m Solving 28 + 16m = 16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 28 + 16m + -4m = 16 + 4m + -4m Combine like terms: 16m + -4m = 12m 28 + 12m = 16 + 4m + -4m Combine like terms: 4m + -4m = 0 28 + 12m = 16 + 0 28 + 12m = 16 Add '-28' to each side of the equation. 28 + -28 + 12m = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 12m = 16 + -28 12m = 16 + -28 Combine like terms: 16 + -28 = -12 12m = -12 Divide each side by '12'. m = -1 Simplifying m = -1
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