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Simplifying 5(2m + 9) = 4(3m + 5) Reorder the terms: 5(9 + 2m) = 4(3m + 5) (9 * 5 + 2m * 5) = 4(3m + 5) (45 + 10m) = 4(3m + 5) Reorder the terms: 45 + 10m = 4(5 + 3m) 45 + 10m = (5 * 4 + 3m * 4) 45 + 10m = (20 + 12m) Solving 45 + 10m = 20 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 45 + 10m + -12m = 20 + 12m + -12m Combine like terms: 10m + -12m = -2m 45 + -2m = 20 + 12m + -12m Combine like terms: 12m + -12m = 0 45 + -2m = 20 + 0 45 + -2m = 20 Add '-45' to each side of the equation. 45 + -45 + -2m = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -2m = 20 + -45 -2m = 20 + -45 Combine like terms: 20 + -45 = -25 -2m = -25 Divide each side by '-2'. m = 12.5 Simplifying m = 12.5
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