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Simplifying 2m + -1(5m + -4) = 7 + (-1m + 2) Reorder the terms: 2m + -1(-4 + 5m) = 7 + (-1m + 2) 2m + (-4 * -1 + 5m * -1) = 7 + (-1m + 2) 2m + (4 + -5m) = 7 + (-1m + 2) Reorder the terms: 4 + 2m + -5m = 7 + (-1m + 2) Combine like terms: 2m + -5m = -3m 4 + -3m = 7 + (-1m + 2) Reorder the terms: 4 + -3m = 7 + (2 + -1m) Remove parenthesis around (2 + -1m) 4 + -3m = 7 + 2 + -1m Combine like terms: 7 + 2 = 9 4 + -3m = 9 + -1m Solving 4 + -3m = 9 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 4 + -3m + m = 9 + -1m + m Combine like terms: -3m + m = -2m 4 + -2m = 9 + -1m + m Combine like terms: -1m + m = 0 4 + -2m = 9 + 0 4 + -2m = 9 Add '-4' to each side of the equation. 4 + -4 + -2m = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = 9 + -4 -2m = 9 + -4 Combine like terms: 9 + -4 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5
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