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Simplifying 2w + -3 + (w + -4) + -5(w + -6) = 0 Reorder the terms: 2w + -3 + (-4 + w) + -5(w + -6) = 0 Remove parenthesis around (-4 + w) 2w + -3 + -4 + w + -5(w + -6) = 0 Reorder the terms: 2w + -3 + -4 + w + -5(-6 + w) = 0 2w + -3 + -4 + w + (-6 * -5 + w * -5) = 0 2w + -3 + -4 + w + (30 + -5w) = 0 Reorder the terms: -3 + -4 + 30 + 2w + w + -5w = 0 Combine like terms: -3 + -4 = -7 -7 + 30 + 2w + w + -5w = 0 Combine like terms: -7 + 30 = 23 23 + 2w + w + -5w = 0 Combine like terms: 2w + w = 3w 23 + 3w + -5w = 0 Combine like terms: 3w + -5w = -2w 23 + -2w = 0 Solving 23 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2w = 0 + -23 -2w = 0 + -23 Combine like terms: 0 + -23 = -23 -2w = -23 Divide each side by '-2'. w = 11.5 Simplifying w = 11.5
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