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Simplifying -2(w + 7) = 2w + -8 + 5(2w + 2) Reorder the terms: -2(7 + w) = 2w + -8 + 5(2w + 2) (7 * -2 + w * -2) = 2w + -8 + 5(2w + 2) (-14 + -2w) = 2w + -8 + 5(2w + 2) Reorder the terms: -14 + -2w = 2w + -8 + 5(2 + 2w) -14 + -2w = 2w + -8 + (2 * 5 + 2w * 5) -14 + -2w = 2w + -8 + (10 + 10w) Reorder the terms: -14 + -2w = -8 + 10 + 2w + 10w Combine like terms: -8 + 10 = 2 -14 + -2w = 2 + 2w + 10w Combine like terms: 2w + 10w = 12w -14 + -2w = 2 + 12w Solving -14 + -2w = 2 + 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. -14 + -2w + -12w = 2 + 12w + -12w Combine like terms: -2w + -12w = -14w -14 + -14w = 2 + 12w + -12w Combine like terms: 12w + -12w = 0 -14 + -14w = 2 + 0 -14 + -14w = 2 Add '14' to each side of the equation. -14 + 14 + -14w = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -14w = 2 + 14 -14w = 2 + 14 Combine like terms: 2 + 14 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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