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Simplifying 4(1 + 8m) + 8 = 5 + 7(1 + 6m) (1 * 4 + 8m * 4) + 8 = 5 + 7(1 + 6m) (4 + 32m) + 8 = 5 + 7(1 + 6m) Reorder the terms: 4 + 8 + 32m = 5 + 7(1 + 6m) Combine like terms: 4 + 8 = 12 12 + 32m = 5 + 7(1 + 6m) 12 + 32m = 5 + (1 * 7 + 6m * 7) 12 + 32m = 5 + (7 + 42m) Combine like terms: 5 + 7 = 12 12 + 32m = 12 + 42m Add '-12' to each side of the equation. 12 + -12 + 32m = 12 + -12 + 42m Combine like terms: 12 + -12 = 0 0 + 32m = 12 + -12 + 42m 32m = 12 + -12 + 42m Combine like terms: 12 + -12 = 0 32m = 0 + 42m 32m = 42m Solving 32m = 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 32m + -42m = 42m + -42m Combine like terms: 32m + -42m = -10m -10m = 42m + -42m Combine like terms: 42m + -42m = 0 -10m = 0 Divide each side by '-10'. m = 0.0 Simplifying m = 0.0
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