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Simplifying 7(8 + w) = 6(4 + w) (8 * 7 + w * 7) = 6(4 + w) (56 + 7w) = 6(4 + w) 56 + 7w = (4 * 6 + w * 6) 56 + 7w = (24 + 6w) Solving 56 + 7w = 24 + 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. 56 + 7w + -6w = 24 + 6w + -6w Combine like terms: 7w + -6w = 1w 56 + 1w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 56 + 1w = 24 + 0 56 + 1w = 24 Add '-56' to each side of the equation. 56 + -56 + 1w = 24 + -56 Combine like terms: 56 + -56 = 0 0 + 1w = 24 + -56 1w = 24 + -56 Combine like terms: 24 + -56 = -32 1w = -32 Divide each side by '1'. w = -32 Simplifying w = -32
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