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Simplifying -6(w + -2) + 4(-1 + -5w) = 0 Reorder the terms: -6(-2 + w) + 4(-1 + -5w) = 0 (-2 * -6 + w * -6) + 4(-1 + -5w) = 0 (12 + -6w) + 4(-1 + -5w) = 0 12 + -6w + (-1 * 4 + -5w * 4) = 0 12 + -6w + (-4 + -20w) = 0 Reorder the terms: 12 + -4 + -6w + -20w = 0 Combine like terms: 12 + -4 = 8 8 + -6w + -20w = 0 Combine like terms: -6w + -20w = -26w 8 + -26w = 0 Solving 8 + -26w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -26w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -26w = 0 + -8 -26w = 0 + -8 Combine like terms: 0 + -8 = -8 -26w = -8 Divide each side by '-26'. w = 0.3076923077 Simplifying w = 0.3076923077
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