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Simplifying 2(w + 1) = 4w + 8 + -5(-2w + -1) Reorder the terms: 2(1 + w) = 4w + 8 + -5(-2w + -1) (1 * 2 + w * 2) = 4w + 8 + -5(-2w + -1) (2 + 2w) = 4w + 8 + -5(-2w + -1) Reorder the terms: 2 + 2w = 4w + 8 + -5(-1 + -2w) 2 + 2w = 4w + 8 + (-1 * -5 + -2w * -5) 2 + 2w = 4w + 8 + (5 + 10w) Reorder the terms: 2 + 2w = 8 + 5 + 4w + 10w Combine like terms: 8 + 5 = 13 2 + 2w = 13 + 4w + 10w Combine like terms: 4w + 10w = 14w 2 + 2w = 13 + 14w Solving 2 + 2w = 13 + 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 = 13 + 14w + -14w Combine like terms: 2w + -14w = -12w 2 + -12w = 13 + 14w + -14w Combine like terms: 14w + -14w = 0 2 + -12w = 13 + 0 2 + -12w = 13 Add '-2' to each side of the equation. 2 + -2 + -12w = 13 + -2 Combine like terms: 2 + -2 = 0 0 + -12w = 13 + -2 -12w = 13 + -2 Combine like terms: 13 + -2 = 11 -12w = 11 Divide each side by '-12'. w = -0.9166666667 Simplifying w = -0.9166666667
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