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Simplifying 7(6 + w) = 6(3 + w) (6 * 7 + w * 7) = 6(3 + w) (42 + 7w) = 6(3 + w) 42 + 7w = (3 * 6 + w * 6) 42 + 7w = (18 + 6w) Solving 42 + 7w = 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. 42 + 7w + -6w = 18 + 6w + -6w Combine like terms: 7w + -6w = 1w 42 + 1w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 42 + 1w = 18 + 0 42 + 1w = 18 Add '-42' to each side of the equation. 42 + -42 + 1w = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = 18 + -42 1w = 18 + -42 Combine like terms: 18 + -42 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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