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Simplifying 4m + 2(m + 1) = 9m + 5 Reorder the terms: 4m + 2(1 + m) = 9m + 5 4m + (1 * 2 + m * 2) = 9m + 5 4m + (2 + 2m) = 9m + 5 Reorder the terms: 2 + 4m + 2m = 9m + 5 Combine like terms: 4m + 2m = 6m 2 + 6m = 9m + 5 Reorder the terms: 2 + 6m = 5 + 9m Solving 2 + 6m = 5 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 2 + 6m + -9m = 5 + 9m + -9m Combine like terms: 6m + -9m = -3m 2 + -3m = 5 + 9m + -9m Combine like terms: 9m + -9m = 0 2 + -3m = 5 + 0 2 + -3m = 5 Add '-2' to each side of the equation. 2 + -2 + -3m = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 5 + -2 -3m = 5 + -2 Combine like terms: 5 + -2 = 3 -3m = 3 Divide each side by '-3'. m = -1 Simplifying m = -1
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