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Simplifying 1 + 7w = 5(7 + -2w) 1 + 7w = (7 * 5 + -2w * 5) 1 + 7w = (35 + -10w) Solving 1 + 7w = 35 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 1 + 7w + 10w = 35 + -10w + 10w Combine like terms: 7w + 10w = 17w 1 + 17w = 35 + -10w + 10w Combine like terms: -10w + 10w = 0 1 + 17w = 35 + 0 1 + 17w = 35 Add '-1' to each side of the equation. 1 + -1 + 17w = 35 + -1 Combine like terms: 1 + -1 = 0 0 + 17w = 35 + -1 17w = 35 + -1 Combine like terms: 35 + -1 = 34 17w = 34 Divide each side by '17'. w = 2 Simplifying w = 2
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