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Simplifying 5(m + 7) = 2(5 + -1m) + 6 Reorder the terms: 5(7 + m) = 2(5 + -1m) + 6 (7 * 5 + m * 5) = 2(5 + -1m) + 6 (35 + 5m) = 2(5 + -1m) + 6 35 + 5m = (5 * 2 + -1m * 2) + 6 35 + 5m = (10 + -2m) + 6 Reorder the terms: 35 + 5m = 10 + 6 + -2m Combine like terms: 10 + 6 = 16 35 + 5m = 16 + -2m Solving 35 + 5m = 16 + -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. 35 + 5m + 2m = 16 + -2m + 2m Combine like terms: 5m + 2m = 7m 35 + 7m = 16 + -2m + 2m Combine like terms: -2m + 2m = 0 35 + 7m = 16 + 0 35 + 7m = 16 Add '-35' to each side of the equation. 35 + -35 + 7m = 16 + -35 Combine like terms: 35 + -35 = 0 0 + 7m = 16 + -35 7m = 16 + -35 Combine like terms: 16 + -35 = -19 7m = -19 Divide each side by '7'. m = -2.714285714 Simplifying m = -2.714285714
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