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Simplifying 2 = (15m + -10) + -1(9m + -27) Reorder the terms: 2 = (-10 + 15m) + -1(9m + -27) Remove parenthesis around (-10 + 15m) 2 = -10 + 15m + -1(9m + -27) Reorder the terms: 2 = -10 + 15m + -1(-27 + 9m) 2 = -10 + 15m + (-27 * -1 + 9m * -1) 2 = -10 + 15m + (27 + -9m) Reorder the terms: 2 = -10 + 27 + 15m + -9m Combine like terms: -10 + 27 = 17 2 = 17 + 15m + -9m Combine like terms: 15m + -9m = 6m 2 = 17 + 6m Solving 2 = 17 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 2 + -6m = 17 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + -6m = 17 + 0 2 + -6m = 17 Add '-2' to each side of the equation. 2 + -2 + -6m = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -6m = 17 + -2 -6m = 17 + -2 Combine like terms: 17 + -2 = 15 -6m = 15 Divide each side by '-6'. m = -2.5 Simplifying m = -2.5
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