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Simplifying 7(4 + w) = 6(5 + w) (4 * 7 + w * 7) = 6(5 + w) (28 + 7w) = 6(5 + w) 28 + 7w = (5 * 6 + w * 6) 28 + 7w = (30 + 6w) Solving 28 + 7w = 30 + 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. 28 + 7w + -6w = 30 + 6w + -6w Combine like terms: 7w + -6w = 1w 28 + 1w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 28 + 1w = 30 + 0 28 + 1w = 30 Add '-28' to each side of the equation. 28 + -28 + 1w = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 30 + -28 1w = 30 + -28 Combine like terms: 30 + -28 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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