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