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Simplifying 2(m + 7) + 2m = 2(m + 9) + -5 Reorder the terms: 2(7 + m) + 2m = 2(m + 9) + -5 (7 * 2 + m * 2) + 2m = 2(m + 9) + -5 (14 + 2m) + 2m = 2(m + 9) + -5 Combine like terms: 2m + 2m = 4m 14 + 4m = 2(m + 9) + -5 Reorder the terms: 14 + 4m = 2(9 + m) + -5 14 + 4m = (9 * 2 + m * 2) + -5 14 + 4m = (18 + 2m) + -5 Reorder the terms: 14 + 4m = 18 + -5 + 2m Combine like terms: 18 + -5 = 13 14 + 4m = 13 + 2m Solving 14 + 4m = 13 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 14 + 4m + -2m = 13 + 2m + -2m Combine like terms: 4m + -2m = 2m 14 + 2m = 13 + 2m + -2m Combine like terms: 2m + -2m = 0 14 + 2m = 13 + 0 14 + 2m = 13 Add '-14' to each side of the equation. 14 + -14 + 2m = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 2m = 13 + -14 2m = 13 + -14 Combine like terms: 13 + -14 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5
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