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Simplifying 5 + -11w = 7(5 + -2w) 5 + -11w = (5 * 7 + -2w * 7) 5 + -11w = (35 + -14w) Solving 5 + -11w = 35 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 5 + -11w + 14w = 35 + -14w + 14w Combine like terms: -11w + 14w = 3w 5 + 3w = 35 + -14w + 14w Combine like terms: -14w + 14w = 0 5 + 3w = 35 + 0 5 + 3w = 35 Add '-5' to each side of the equation. 5 + -5 + 3w = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 35 + -5 3w = 35 + -5 Combine like terms: 35 + -5 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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