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Simplifying 3 + -5(2 + -1m) = 2(m + 7) 3 + (2 * -5 + -1m * -5) = 2(m + 7) 3 + (-10 + 5m) = 2(m + 7) Combine like terms: 3 + -10 = -7 -7 + 5m = 2(m + 7) Reorder the terms: -7 + 5m = 2(7 + m) -7 + 5m = (7 * 2 + m * 2) -7 + 5m = (14 + 2m) Solving -7 + 5m = 14 + 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. -7 + 5m + -2m = 14 + 2m + -2m Combine like terms: 5m + -2m = 3m -7 + 3m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 3m = 14 + 0 -7 + 3m = 14 Add '7' to each side of the equation. -7 + 7 + 3m = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3m = 14 + 7 3m = 14 + 7 Combine like terms: 14 + 7 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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