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Simplifying 4w + -8 = 27 + -3w Reorder the terms: -8 + 4w = 27 + -3w Solving -8 + 4w = 27 + -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. -8 + 4w + 3w = 27 + -3w + 3w Combine like terms: 4w + 3w = 7w -8 + 7w = 27 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + 7w = 27 + 0 -8 + 7w = 27 Add '8' to each side of the equation. -8 + 8 + 7w = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 27 + 8 7w = 27 + 8 Combine like terms: 27 + 8 = 35 7w = 35 Divide each side by '7'. w = 5 Simplifying w = 5
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