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Simplifying -3(2w + -6) + 4(-1 + -5w) = 0 Reorder the terms: -3(-6 + 2w) + 4(-1 + -5w) = 0 (-6 * -3 + 2w * -3) + 4(-1 + -5w) = 0 (18 + -6w) + 4(-1 + -5w) = 0 18 + -6w + (-1 * 4 + -5w * 4) = 0 18 + -6w + (-4 + -20w) = 0 Reorder the terms: 18 + -4 + -6w + -20w = 0 Combine like terms: 18 + -4 = 14 14 + -6w + -20w = 0 Combine like terms: -6w + -20w = -26w 14 + -26w = 0 Solving 14 + -26w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -26w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -26w = 0 + -14 -26w = 0 + -14 Combine like terms: 0 + -14 = -14 -26w = -14 Divide each side by '-26'. w = 0.5384615385 Simplifying w = 0.5384615385
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