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Simplifying 20m + -18 = 5(3m + 5) + 2 Reorder the terms: -18 + 20m = 5(3m + 5) + 2 Reorder the terms: -18 + 20m = 5(5 + 3m) + 2 -18 + 20m = (5 * 5 + 3m * 5) + 2 -18 + 20m = (25 + 15m) + 2 Reorder the terms: -18 + 20m = 25 + 2 + 15m Combine like terms: 25 + 2 = 27 -18 + 20m = 27 + 15m Solving -18 + 20m = 27 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -18 + 20m + -15m = 27 + 15m + -15m Combine like terms: 20m + -15m = 5m -18 + 5m = 27 + 15m + -15m Combine like terms: 15m + -15m = 0 -18 + 5m = 27 + 0 -18 + 5m = 27 Add '18' to each side of the equation. -18 + 18 + 5m = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 5m = 27 + 18 5m = 27 + 18 Combine like terms: 27 + 18 = 45 5m = 45 Divide each side by '5'. m = 9 Simplifying m = 9
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