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Simplifying 2(17 + 5w) = 4(5 + 3w) (17 * 2 + 5w * 2) = 4(5 + 3w) (34 + 10w) = 4(5 + 3w) 34 + 10w = (5 * 4 + 3w * 4) 34 + 10w = (20 + 12w) Solving 34 + 10w = 20 + 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. 34 + 10w + -12w = 20 + 12w + -12w Combine like terms: 10w + -12w = -2w 34 + -2w = 20 + 12w + -12w Combine like terms: 12w + -12w = 0 34 + -2w = 20 + 0 34 + -2w = 20 Add '-34' to each side of the equation. 34 + -34 + -2w = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 20 + -34 -2w = 20 + -34 Combine like terms: 20 + -34 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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