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Simplifying 5m + 9(m + 2) = 4(m + 7) Reorder the terms: 5m + 9(2 + m) = 4(m + 7) 5m + (2 * 9 + m * 9) = 4(m + 7) 5m + (18 + 9m) = 4(m + 7) Reorder the terms: 18 + 5m + 9m = 4(m + 7) Combine like terms: 5m + 9m = 14m 18 + 14m = 4(m + 7) Reorder the terms: 18 + 14m = 4(7 + m) 18 + 14m = (7 * 4 + m * 4) 18 + 14m = (28 + 4m) Solving 18 + 14m = 28 + 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. 18 + 14m + -4m = 28 + 4m + -4m Combine like terms: 14m + -4m = 10m 18 + 10m = 28 + 4m + -4m Combine like terms: 4m + -4m = 0 18 + 10m = 28 + 0 18 + 10m = 28 Add '-18' to each side of the equation. 18 + -18 + 10m = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 10m = 28 + -18 10m = 28 + -18 Combine like terms: 28 + -18 = 10 10m = 10 Divide each side by '10'. m = 1 Simplifying m = 1
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