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Simplifying 5(2m + 9) = 10(m + 3) + -40m Reorder the terms: 5(9 + 2m) = 10(m + 3) + -40m (9 * 5 + 2m * 5) = 10(m + 3) + -40m (45 + 10m) = 10(m + 3) + -40m Reorder the terms: 45 + 10m = 10(3 + m) + -40m 45 + 10m = (3 * 10 + m * 10) + -40m 45 + 10m = (30 + 10m) + -40m Combine like terms: 10m + -40m = -30m 45 + 10m = 30 + -30m Solving 45 + 10m = 30 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 45 + 10m + 30m = 30 + -30m + 30m Combine like terms: 10m + 30m = 40m 45 + 40m = 30 + -30m + 30m Combine like terms: -30m + 30m = 0 45 + 40m = 30 + 0 45 + 40m = 30 Add '-45' to each side of the equation. 45 + -45 + 40m = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 40m = 30 + -45 40m = 30 + -45 Combine like terms: 30 + -45 = -15 40m = -15 Divide each side by '40'. m = -0.375 Simplifying m = -0.375
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