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Simplifying 10 = 2(1 + 8m) + 8(1 + 8m) 10 = (1 * 2 + 8m * 2) + 8(1 + 8m) 10 = (2 + 16m) + 8(1 + 8m) 10 = 2 + 16m + (1 * 8 + 8m * 8) 10 = 2 + 16m + (8 + 64m) Reorder the terms: 10 = 2 + 8 + 16m + 64m Combine like terms: 2 + 8 = 10 10 = 10 + 16m + 64m Combine like terms: 16m + 64m = 80m 10 = 10 + 80m Add '-10' to each side of the equation. 10 + -10 = 10 + -10 + 80m Combine like terms: 10 + -10 = 0 0 = 10 + -10 + 80m Combine like terms: 10 + -10 = 0 0 = 0 + 80m 0 = 80m Solving 0 = 80m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-80m' to each side of the equation. 0 + -80m = 80m + -80m Remove the zero: -80m = 80m + -80m Combine like terms: 80m + -80m = 0 -80m = 0 Divide each side by '-80'. m = 0 Simplifying m = 0
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