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Simplifying 3(3m + -2) = 2(m + 13) Reorder the terms: 3(-2 + 3m) = 2(m + 13) (-2 * 3 + 3m * 3) = 2(m + 13) (-6 + 9m) = 2(m + 13) Reorder the terms: -6 + 9m = 2(13 + m) -6 + 9m = (13 * 2 + m * 2) -6 + 9m = (26 + 2m) Solving -6 + 9m = 26 + 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. -6 + 9m + -2m = 26 + 2m + -2m Combine like terms: 9m + -2m = 7m -6 + 7m = 26 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 7m = 26 + 0 -6 + 7m = 26 Add '6' to each side of the equation. -6 + 6 + 7m = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 7m = 26 + 6 7m = 26 + 6 Combine like terms: 26 + 6 = 32 7m = 32 Divide each side by '7'. m = 4.571428571 Simplifying m = 4.571428571
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