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Simplifying 4m + 9 = 3(m + 2) + 11 Reorder the terms: 9 + 4m = 3(m + 2) + 11 Reorder the terms: 9 + 4m = 3(2 + m) + 11 9 + 4m = (2 * 3 + m * 3) + 11 9 + 4m = (6 + 3m) + 11 Reorder the terms: 9 + 4m = 6 + 11 + 3m Combine like terms: 6 + 11 = 17 9 + 4m = 17 + 3m Solving 9 + 4m = 17 + 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. 9 + 4m + -3m = 17 + 3m + -3m Combine like terms: 4m + -3m = 1m 9 + 1m = 17 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + 1m = 17 + 0 9 + 1m = 17 Add '-9' to each side of the equation. 9 + -9 + 1m = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1m = 17 + -9 1m = 17 + -9 Combine like terms: 17 + -9 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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