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Simplifying -1(5m + 7) = -1(1 + -4m) + -7m Reorder the terms: -1(7 + 5m) = -1(1 + -4m) + -7m (7 * -1 + 5m * -1) = -1(1 + -4m) + -7m (-7 + -5m) = -1(1 + -4m) + -7m -7 + -5m = (1 * -1 + -4m * -1) + -7m -7 + -5m = (-1 + 4m) + -7m Combine like terms: 4m + -7m = -3m -7 + -5m = -1 + -3m Solving -7 + -5m = -1 + -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. -7 + -5m + 3m = -1 + -3m + 3m Combine like terms: -5m + 3m = -2m -7 + -2m = -1 + -3m + 3m Combine like terms: -3m + 3m = 0 -7 + -2m = -1 + 0 -7 + -2m = -1 Add '7' to each side of the equation. -7 + 7 + -2m = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = -1 + 7 -2m = -1 + 7 Combine like terms: -1 + 7 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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