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Simplifying 7(y + w) = 6(3 + w) Reorder the terms: 7(w + y) = 6(3 + w) (w * 7 + y * 7) = 6(3 + w) (7w + 7y) = 6(3 + w) 7w + 7y = (3 * 6 + w * 6) 7w + 7y = (18 + 6w) Solving 7w + 7y = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 7w + -6w + 7y = 18 + 6w + -6w Combine like terms: 7w + -6w = 1w 1w + 7y = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 1w + 7y = 18 + 0 1w + 7y = 18 Add '-7y' to each side of the equation. 1w + 7y + -7y = 18 + -7y Combine like terms: 7y + -7y = 0 1w + 0 = 18 + -7y 1w = 18 + -7y Divide each side by '1'. w = 18 + -7y Simplifying w = 18 + -7y
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