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Simplifying 6(6 + 9m) + 7m = 10(12m + -2) + -3 (6 * 6 + 9m * 6) + 7m = 10(12m + -2) + -3 (36 + 54m) + 7m = 10(12m + -2) + -3 Combine like terms: 54m + 7m = 61m 36 + 61m = 10(12m + -2) + -3 Reorder the terms: 36 + 61m = 10(-2 + 12m) + -3 36 + 61m = (-2 * 10 + 12m * 10) + -3 36 + 61m = (-20 + 120m) + -3 Reorder the terms: 36 + 61m = -20 + -3 + 120m Combine like terms: -20 + -3 = -23 36 + 61m = -23 + 120m Solving 36 + 61m = -23 + 120m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-120m' to each side of the equation. 36 + 61m + -120m = -23 + 120m + -120m Combine like terms: 61m + -120m = -59m 36 + -59m = -23 + 120m + -120m Combine like terms: 120m + -120m = 0 36 + -59m = -23 + 0 36 + -59m = -23 Add '-36' to each side of the equation. 36 + -36 + -59m = -23 + -36 Combine like terms: 36 + -36 = 0 0 + -59m = -23 + -36 -59m = -23 + -36 Combine like terms: -23 + -36 = -59 -59m = -59 Divide each side by '-59'. m = 1 Simplifying m = 1
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