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Simplifying 7w + -8 + -4w = 20 + -1w + 4 Reorder the terms: -8 + 7w + -4w = 20 + -1w + 4 Combine like terms: 7w + -4w = 3w -8 + 3w = 20 + -1w + 4 Reorder the terms: -8 + 3w = 20 + 4 + -1w Combine like terms: 20 + 4 = 24 -8 + 3w = 24 + -1w Solving -8 + 3w = 24 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -8 + 3w + w = 24 + -1w + w Combine like terms: 3w + w = 4w -8 + 4w = 24 + -1w + w Combine like terms: -1w + w = 0 -8 + 4w = 24 + 0 -8 + 4w = 24 Add '8' to each side of the equation. -8 + 8 + 4w = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = 24 + 8 4w = 24 + 8 Combine like terms: 24 + 8 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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