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Simplifying -6(w + 2) + 5(-4w + -4) = 0 Reorder the terms: -6(2 + w) + 5(-4w + -4) = 0 (2 * -6 + w * -6) + 5(-4w + -4) = 0 (-12 + -6w) + 5(-4w + -4) = 0 Reorder the terms: -12 + -6w + 5(-4 + -4w) = 0 -12 + -6w + (-4 * 5 + -4w * 5) = 0 -12 + -6w + (-20 + -20w) = 0 Reorder the terms: -12 + -20 + -6w + -20w = 0 Combine like terms: -12 + -20 = -32 -32 + -6w + -20w = 0 Combine like terms: -6w + -20w = -26w -32 + -26w = 0 Solving -32 + -26w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -26w = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -26w = 0 + 32 -26w = 0 + 32 Combine like terms: 0 + 32 = 32 -26w = 32 Divide each side by '-26'. w = -1.230769231 Simplifying w = -1.230769231
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