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Simplifying 7(9 + w) = 6(4 + w) (9 * 7 + w * 7) = 6(4 + w) (63 + 7w) = 6(4 + w) 63 + 7w = (4 * 6 + w * 6) 63 + 7w = (24 + 6w) Solving 63 + 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. 63 + 7w + -6w = 24 + 6w + -6w Combine like terms: 7w + -6w = 1w 63 + 1w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 63 + 1w = 24 + 0 63 + 1w = 24 Add '-63' to each side of the equation. 63 + -63 + 1w = 24 + -63 Combine like terms: 63 + -63 = 0 0 + 1w = 24 + -63 1w = 24 + -63 Combine like terms: 24 + -63 = -39 1w = -39 Divide each side by '1'. w = -39 Simplifying w = -39
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