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Simplifying 6(3 + w) = 4 + -1w (3 * 6 + w * 6) = 4 + -1w (18 + 6w) = 4 + -1w Solving 18 + 6w = 4 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 18 + 6w + w = 4 + -1w + w Combine like terms: 6w + w = 7w 18 + 7w = 4 + -1w + w Combine like terms: -1w + w = 0 18 + 7w = 4 + 0 18 + 7w = 4 Add '-18' to each side of the equation. 18 + -18 + 7w = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 7w = 4 + -18 7w = 4 + -18 Combine like terms: 4 + -18 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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