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Simplifying 5w + -5 + -3 = 27w + (-18) + -4w Reorder the terms: -5 + -3 + 5w = 27w + (-18) + -4w Combine like terms: -5 + -3 = -8 -8 + 5w = 27w + (-18) + -4w -8 + 5w = 27w + -18 + -4w Reorder the terms: -8 + 5w = -18 + 27w + -4w Combine like terms: 27w + -4w = 23w -8 + 5w = -18 + 23w Solving -8 + 5w = -18 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. -8 + 5w + -23w = -18 + 23w + -23w Combine like terms: 5w + -23w = -18w -8 + -18w = -18 + 23w + -23w Combine like terms: 23w + -23w = 0 -8 + -18w = -18 + 0 -8 + -18w = -18 Add '8' to each side of the equation. -8 + 8 + -18w = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -18w = -18 + 8 -18w = -18 + 8 Combine like terms: -18 + 8 = -10 -18w = -10 Divide each side by '-18'. w = 0.5555555556 Simplifying w = 0.5555555556
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