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Simplifying 10 = 4(2 + 8m) + 2(1 + m) 10 = (2 * 4 + 8m * 4) + 2(1 + m) 10 = (8 + 32m) + 2(1 + m) 10 = 8 + 32m + (1 * 2 + m * 2) 10 = 8 + 32m + (2 + 2m) Reorder the terms: 10 = 8 + 2 + 32m + 2m Combine like terms: 8 + 2 = 10 10 = 10 + 32m + 2m Combine like terms: 32m + 2m = 34m 10 = 10 + 34m Add '-10' to each side of the equation. 10 + -10 = 10 + -10 + 34m Combine like terms: 10 + -10 = 0 0 = 10 + -10 + 34m Combine like terms: 10 + -10 = 0 0 = 0 + 34m 0 = 34m Solving 0 = 34m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-34m' to each side of the equation. 0 + -34m = 34m + -34m Remove the zero: -34m = 34m + -34m Combine like terms: 34m + -34m = 0 -34m = 0 Divide each side by '-34'. m = 0 Simplifying m = 0
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