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Simplifying -2(w + 1) = 2w + -2 + 2(5w + 8) Reorder the terms: -2(1 + w) = 2w + -2 + 2(5w + 8) (1 * -2 + w * -2) = 2w + -2 + 2(5w + 8) (-2 + -2w) = 2w + -2 + 2(5w + 8) Reorder the terms: -2 + -2w = 2w + -2 + 2(8 + 5w) -2 + -2w = 2w + -2 + (8 * 2 + 5w * 2) -2 + -2w = 2w + -2 + (16 + 10w) Reorder the terms: -2 + -2w = -2 + 16 + 2w + 10w Combine like terms: -2 + 16 = 14 -2 + -2w = 14 + 2w + 10w Combine like terms: 2w + 10w = 12w -2 + -2w = 14 + 12w Solving -2 + -2w = 14 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -2 + -2w + -12w = 14 + 12w + -12w Combine like terms: -2w + -12w = -14w -2 + -14w = 14 + 12w + -12w Combine like terms: 12w + -12w = 0 -2 + -14w = 14 + 0 -2 + -14w = 14 Add '2' to each side of the equation. -2 + 2 + -14w = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -14w = 14 + 2 -14w = 14 + 2 Combine like terms: 14 + 2 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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