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Simplifying 10 + 2m = 8(4m + 5) Reorder the terms: 10 + 2m = 8(5 + 4m) 10 + 2m = (5 * 8 + 4m * 8) 10 + 2m = (40 + 32m) Solving 10 + 2m = 40 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. 10 + 2m + -32m = 40 + 32m + -32m Combine like terms: 2m + -32m = -30m 10 + -30m = 40 + 32m + -32m Combine like terms: 32m + -32m = 0 10 + -30m = 40 + 0 10 + -30m = 40 Add '-10' to each side of the equation. 10 + -10 + -30m = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -30m = 40 + -10 -30m = 40 + -10 Combine like terms: 40 + -10 = 30 -30m = 30 Divide each side by '-30'. m = -1 Simplifying m = -1
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