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Simplifying 5w + 2 + -30 = 40 + w Reorder the terms: 2 + -30 + 5w = 40 + w Combine like terms: 2 + -30 = -28 -28 + 5w = 40 + w Solving -28 + 5w = 40 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -28 + 5w + -1w = 40 + w + -1w Combine like terms: 5w + -1w = 4w -28 + 4w = 40 + w + -1w Combine like terms: w + -1w = 0 -28 + 4w = 40 + 0 -28 + 4w = 40 Add '28' to each side of the equation. -28 + 28 + 4w = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = 40 + 28 4w = 40 + 28 Combine like terms: 40 + 28 = 68 4w = 68 Divide each side by '4'. w = 17 Simplifying w = 17
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