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Simplifying 5(m + 7) = -17 + 2m + 70 Reorder the terms: 5(7 + m) = -17 + 2m + 70 (7 * 5 + m * 5) = -17 + 2m + 70 (35 + 5m) = -17 + 2m + 70 Reorder the terms: 35 + 5m = -17 + 70 + 2m Combine like terms: -17 + 70 = 53 35 + 5m = 53 + 2m Solving 35 + 5m = 53 + 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 = 53 + 2m + -2m Combine like terms: 5m + -2m = 3m 35 + 3m = 53 + 2m + -2m Combine like terms: 2m + -2m = 0 35 + 3m = 53 + 0 35 + 3m = 53 Add '-35' to each side of the equation. 35 + -35 + 3m = 53 + -35 Combine like terms: 35 + -35 = 0 0 + 3m = 53 + -35 3m = 53 + -35 Combine like terms: 53 + -35 = 18 3m = 18 Divide each side by '3'. m = 6 Simplifying m = 6
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