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Simplifying 3 + -1(m + -2) = -2m + -3(m + 7) Reorder the terms: 3 + -1(-2 + m) = -2m + -3(m + 7) 3 + (-2 * -1 + m * -1) = -2m + -3(m + 7) 3 + (2 + -1m) = -2m + -3(m + 7) Combine like terms: 3 + 2 = 5 5 + -1m = -2m + -3(m + 7) Reorder the terms: 5 + -1m = -2m + -3(7 + m) 5 + -1m = -2m + (7 * -3 + m * -3) 5 + -1m = -2m + (-21 + -3m) Reorder the terms: 5 + -1m = -21 + -2m + -3m Combine like terms: -2m + -3m = -5m 5 + -1m = -21 + -5m Solving 5 + -1m = -21 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 5 + -1m + 5m = -21 + -5m + 5m Combine like terms: -1m + 5m = 4m 5 + 4m = -21 + -5m + 5m Combine like terms: -5m + 5m = 0 5 + 4m = -21 + 0 5 + 4m = -21 Add '-5' to each side of the equation. 5 + -5 + 4m = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = -21 + -5 4m = -21 + -5 Combine like terms: -21 + -5 = -26 4m = -26 Divide each side by '4'. m = -6.5 Simplifying m = -6.5
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