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Simplifying 6 = 9m + -3(2m + 5) Reorder the terms: 6 = 9m + -3(5 + 2m) 6 = 9m + (5 * -3 + 2m * -3) 6 = 9m + (-15 + -6m) Reorder the terms: 6 = -15 + 9m + -6m Combine like terms: 9m + -6m = 3m 6 = -15 + 3m Solving 6 = -15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + -3m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -3m = -15 + 0 6 + -3m = -15 Add '-6' to each side of the equation. 6 + -6 + -3m = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3m = -15 + -6 -3m = -15 + -6 Combine like terms: -15 + -6 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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