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Simplifying 5m + 35 = 8(4m + 1) Reorder the terms: 35 + 5m = 8(4m + 1) Reorder the terms: 35 + 5m = 8(1 + 4m) 35 + 5m = (1 * 8 + 4m * 8) 35 + 5m = (8 + 32m) Solving 35 + 5m = 8 + 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. 35 + 5m + -32m = 8 + 32m + -32m Combine like terms: 5m + -32m = -27m 35 + -27m = 8 + 32m + -32m Combine like terms: 32m + -32m = 0 35 + -27m = 8 + 0 35 + -27m = 8 Add '-35' to each side of the equation. 35 + -35 + -27m = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -27m = 8 + -35 -27m = 8 + -35 Combine like terms: 8 + -35 = -27 -27m = -27 Divide each side by '-27'. m = 1 Simplifying m = 1
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