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Simplifying 66 = 6(3 + 4w) + 2w 66 = (3 * 6 + 4w * 6) + 2w 66 = (18 + 24w) + 2w Combine like terms: 24w + 2w = 26w 66 = 18 + 26w Solving 66 = 18 + 26w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26w' to each side of the equation. 66 + -26w = 18 + 26w + -26w Combine like terms: 26w + -26w = 0 66 + -26w = 18 + 0 66 + -26w = 18 Add '-66' to each side of the equation. 66 + -66 + -26w = 18 + -66 Combine like terms: 66 + -66 = 0 0 + -26w = 18 + -66 -26w = 18 + -66 Combine like terms: 18 + -66 = -48 -26w = -48 Divide each side by '-26'. w = 1.846153846 Simplifying w = 1.846153846
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