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Simplifying 3m + 2(5 + m) + 5m = 45m + 52 3m + (5 * 2 + m * 2) + 5m = 45m + 52 3m + (10 + 2m) + 5m = 45m + 52 Reorder the terms: 10 + 3m + 2m + 5m = 45m + 52 Combine like terms: 3m + 2m = 5m 10 + 5m + 5m = 45m + 52 Combine like terms: 5m + 5m = 10m 10 + 10m = 45m + 52 Reorder the terms: 10 + 10m = 52 + 45m Solving 10 + 10m = 52 + 45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45m' to each side of the equation. 10 + 10m + -45m = 52 + 45m + -45m Combine like terms: 10m + -45m = -35m 10 + -35m = 52 + 45m + -45m Combine like terms: 45m + -45m = 0 10 + -35m = 52 + 0 10 + -35m = 52 Add '-10' to each side of the equation. 10 + -10 + -35m = 52 + -10 Combine like terms: 10 + -10 = 0 0 + -35m = 52 + -10 -35m = 52 + -10 Combine like terms: 52 + -10 = 42 -35m = 42 Divide each side by '-35'. m = -1.2 Simplifying m = -1.2
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