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Simplifying (2w + -6) + 4(-1 + -5w) = 0 Reorder the terms: (-6 + 2w) + 4(-1 + -5w) = 0 Remove parenthesis around (-6 + 2w) -6 + 2w + 4(-1 + -5w) = 0 -6 + 2w + (-1 * 4 + -5w * 4) = 0 -6 + 2w + (-4 + -20w) = 0 Reorder the terms: -6 + -4 + 2w + -20w = 0 Combine like terms: -6 + -4 = -10 -10 + 2w + -20w = 0 Combine like terms: 2w + -20w = -18w -10 + -18w = 0 Solving -10 + -18w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -18w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -18w = 0 + 10 -18w = 0 + 10 Combine like terms: 0 + 10 = 10 -18w = 10 Divide each side by '-18'. w = -0.5555555556 Simplifying w = -0.5555555556
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