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Simplifying 2 = 5(5m + -2) + -9(3m + -2) Reorder the terms: 2 = 5(-2 + 5m) + -9(3m + -2) 2 = (-2 * 5 + 5m * 5) + -9(3m + -2) 2 = (-10 + 25m) + -9(3m + -2) Reorder the terms: 2 = -10 + 25m + -9(-2 + 3m) 2 = -10 + 25m + (-2 * -9 + 3m * -9) 2 = -10 + 25m + (18 + -27m) Reorder the terms: 2 = -10 + 18 + 25m + -27m Combine like terms: -10 + 18 = 8 2 = 8 + 25m + -27m Combine like terms: 25m + -27m = -2m 2 = 8 + -2m Solving 2 = 8 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 2 + 2m = 8 + -2m + 2m Combine like terms: -2m + 2m = 0 2 + 2m = 8 + 0 2 + 2m = 8 Add '-2' to each side of the equation. 2 + -2 + 2m = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = 8 + -2 2m = 8 + -2 Combine like terms: 8 + -2 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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