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Simplifying 6(1 + -4w) = -18 + 2w (1 * 6 + -4w * 6) = -18 + 2w (6 + -24w) = -18 + 2w Solving 6 + -24w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6 + -24w + -2w = -18 + 2w + -2w Combine like terms: -24w + -2w = -26w 6 + -26w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -26w = -18 + 0 6 + -26w = -18 Add '-6' to each side of the equation. 6 + -6 + -26w = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -26w = -18 + -6 -26w = -18 + -6 Combine like terms: -18 + -6 = -24 -26w = -24 Divide each side by '-26'. w = 0.9230769231 Simplifying w = 0.9230769231
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