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Simplifying 8(7m + 4) = 8(8 + 8m) Reorder the terms: 8(4 + 7m) = 8(8 + 8m) (4 * 8 + 7m * 8) = 8(8 + 8m) (32 + 56m) = 8(8 + 8m) 32 + 56m = (8 * 8 + 8m * 8) 32 + 56m = (64 + 64m) Solving 32 + 56m = 64 + 64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-64m' to each side of the equation. 32 + 56m + -64m = 64 + 64m + -64m Combine like terms: 56m + -64m = -8m 32 + -8m = 64 + 64m + -64m Combine like terms: 64m + -64m = 0 32 + -8m = 64 + 0 32 + -8m = 64 Add '-32' to each side of the equation. 32 + -32 + -8m = 64 + -32 Combine like terms: 32 + -32 = 0 0 + -8m = 64 + -32 -8m = 64 + -32 Combine like terms: 64 + -32 = 32 -8m = 32 Divide each side by '-8'. m = -4 Simplifying m = -4
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