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Simplifying 5w + -5 + 2(5w + 1) = -3(w + 5) Reorder the terms: 5w + -5 + 2(1 + 5w) = -3(w + 5) 5w + -5 + (1 * 2 + 5w * 2) = -3(w + 5) 5w + -5 + (2 + 10w) = -3(w + 5) Reorder the terms: -5 + 2 + 5w + 10w = -3(w + 5) Combine like terms: -5 + 2 = -3 -3 + 5w + 10w = -3(w + 5) Combine like terms: 5w + 10w = 15w -3 + 15w = -3(w + 5) Reorder the terms: -3 + 15w = -3(5 + w) -3 + 15w = (5 * -3 + w * -3) -3 + 15w = (-15 + -3w) Solving -3 + 15w = -15 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -3 + 15w + 3w = -15 + -3w + 3w Combine like terms: 15w + 3w = 18w -3 + 18w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 -3 + 18w = -15 + 0 -3 + 18w = -15 Add '3' to each side of the equation. -3 + 3 + 18w = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 18w = -15 + 3 18w = -15 + 3 Combine like terms: -15 + 3 = -12 18w = -12 Divide each side by '18'. w = -0.6666666667 Simplifying w = -0.6666666667
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