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Simplifying 2(m + 3) + 3(m + -2) = 4m + 17 Reorder the terms: 2(3 + m) + 3(m + -2) = 4m + 17 (3 * 2 + m * 2) + 3(m + -2) = 4m + 17 (6 + 2m) + 3(m + -2) = 4m + 17 Reorder the terms: 6 + 2m + 3(-2 + m) = 4m + 17 6 + 2m + (-2 * 3 + m * 3) = 4m + 17 6 + 2m + (-6 + 3m) = 4m + 17 Reorder the terms: 6 + -6 + 2m + 3m = 4m + 17 Combine like terms: 6 + -6 = 0 0 + 2m + 3m = 4m + 17 2m + 3m = 4m + 17 Combine like terms: 2m + 3m = 5m 5m = 4m + 17 Reorder the terms: 5m = 17 + 4m Solving 5m = 17 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5m + -4m = 17 + 4m + -4m Combine like terms: 5m + -4m = 1m 1m = 17 + 4m + -4m Combine like terms: 4m + -4m = 0 1m = 17 + 0 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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