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