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Simplifying 20 + 17w = 6 + 15w Solving 20 + 17w = 6 + 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. 20 + 17w + -15w = 6 + 15w + -15w Combine like terms: 17w + -15w = 2w 20 + 2w = 6 + 15w + -15w Combine like terms: 15w + -15w = 0 20 + 2w = 6 + 0 20 + 2w = 6 Add '-20' to each side of the equation. 20 + -20 + 2w = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 6 + -20 2w = 6 + -20 Combine like terms: 6 + -20 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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