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Simplifying 2(w + -1) = 4w + 1 + -5(-2w + -1) Reorder the terms: 2(-1 + w) = 4w + 1 + -5(-2w + -1) (-1 * 2 + w * 2) = 4w + 1 + -5(-2w + -1) (-2 + 2w) = 4w + 1 + -5(-2w + -1) Reorder the terms: -2 + 2w = 4w + 1 + -5(-1 + -2w) -2 + 2w = 4w + 1 + (-1 * -5 + -2w * -5) -2 + 2w = 4w + 1 + (5 + 10w) Reorder the terms: -2 + 2w = 1 + 5 + 4w + 10w Combine like terms: 1 + 5 = 6 -2 + 2w = 6 + 4w + 10w Combine like terms: 4w + 10w = 14w -2 + 2w = 6 + 14w Solving -2 + 2w = 6 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -2 + 2w + -14w = 6 + 14w + -14w Combine like terms: 2w + -14w = -12w -2 + -12w = 6 + 14w + -14w Combine like terms: 14w + -14w = 0 -2 + -12w = 6 + 0 -2 + -12w = 6 Add '2' to each side of the equation. -2 + 2 + -12w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -12w = 6 + 2 -12w = 6 + 2 Combine like terms: 6 + 2 = 8 -12w = 8 Divide each side by '-12'. w = -0.6666666667 Simplifying w = -0.6666666667
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