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Simplifying 2(7 + w) = 15(7 + -1w) (7 * 2 + w * 2) = 15(7 + -1w) (14 + 2w) = 15(7 + -1w) 14 + 2w = (7 * 15 + -1w * 15) 14 + 2w = (105 + -15w) Solving 14 + 2w = 105 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 14 + 2w + 15w = 105 + -15w + 15w Combine like terms: 2w + 15w = 17w 14 + 17w = 105 + -15w + 15w Combine like terms: -15w + 15w = 0 14 + 17w = 105 + 0 14 + 17w = 105 Add '-14' to each side of the equation. 14 + -14 + 17w = 105 + -14 Combine like terms: 14 + -14 = 0 0 + 17w = 105 + -14 17w = 105 + -14 Combine like terms: 105 + -14 = 91 17w = 91 Divide each side by '17'. w = 5.352941176 Simplifying w = 5.352941176
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