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Simplifying 5w + 4 + -5(-3w + -1) = 2(w + -3) Reorder the terms: 5w + 4 + -5(-1 + -3w) = 2(w + -3) 5w + 4 + (-1 * -5 + -3w * -5) = 2(w + -3) 5w + 4 + (5 + 15w) = 2(w + -3) Reorder the terms: 4 + 5 + 5w + 15w = 2(w + -3) Combine like terms: 4 + 5 = 9 9 + 5w + 15w = 2(w + -3) Combine like terms: 5w + 15w = 20w 9 + 20w = 2(w + -3) Reorder the terms: 9 + 20w = 2(-3 + w) 9 + 20w = (-3 * 2 + w * 2) 9 + 20w = (-6 + 2w) Solving 9 + 20w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + 20w + -2w = -6 + 2w + -2w Combine like terms: 20w + -2w = 18w 9 + 18w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 18w = -6 + 0 9 + 18w = -6 Add '-9' to each side of the equation. 9 + -9 + 18w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 18w = -6 + -9 18w = -6 + -9 Combine like terms: -6 + -9 = -15 18w = -15 Divide each side by '18'. w = -0.8333333333 Simplifying w = -0.8333333333
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