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Simplifying 4(3m + 7) = 4(8 + 4m) Reorder the terms: 4(7 + 3m) = 4(8 + 4m) (7 * 4 + 3m * 4) = 4(8 + 4m) (28 + 12m) = 4(8 + 4m) 28 + 12m = (8 * 4 + 4m * 4) 28 + 12m = (32 + 16m) Solving 28 + 12m = 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. 28 + 12m + -16m = 32 + 16m + -16m Combine like terms: 12m + -16m = -4m 28 + -4m = 32 + 16m + -16m Combine like terms: 16m + -16m = 0 28 + -4m = 32 + 0 28 + -4m = 32 Add '-28' to each side of the equation. 28 + -28 + -4m = 32 + -28 Combine like terms: 28 + -28 = 0 0 + -4m = 32 + -28 -4m = 32 + -28 Combine like terms: 32 + -28 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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