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