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Simplifying 3(3m + -2) + 2(m + 1) + 2m + 2 = 180 Reorder the terms: 3(-2 + 3m) + 2(m + 1) + 2m + 2 = 180 (-2 * 3 + 3m * 3) + 2(m + 1) + 2m + 2 = 180 (-6 + 9m) + 2(m + 1) + 2m + 2 = 180 Reorder the terms: -6 + 9m + 2(1 + m) + 2m + 2 = 180 -6 + 9m + (1 * 2 + m * 2) + 2m + 2 = 180 -6 + 9m + (2 + 2m) + 2m + 2 = 180 Reorder the terms: -6 + 2 + 2 + 9m + 2m + 2m = 180 Combine like terms: -6 + 2 = -4 -4 + 2 + 9m + 2m + 2m = 180 Combine like terms: -4 + 2 = -2 -2 + 9m + 2m + 2m = 180 Combine like terms: 9m + 2m = 11m -2 + 11m + 2m = 180 Combine like terms: 11m + 2m = 13m -2 + 13m = 180 Solving -2 + 13m = 180 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13m = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13m = 180 + 2 13m = 180 + 2 Combine like terms: 180 + 2 = 182 13m = 182 Divide each side by '13'. m = 14 Simplifying m = 14
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