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Simplifying 5 + 4w + -8 = 4w + -2 + -1w Reorder the terms: 5 + -8 + 4w = 4w + -2 + -1w Combine like terms: 5 + -8 = -3 -3 + 4w = 4w + -2 + -1w Reorder the terms: -3 + 4w = -2 + 4w + -1w Combine like terms: 4w + -1w = 3w -3 + 4w = -2 + 3w Solving -3 + 4w = -2 + 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 + 4w + -3w = -2 + 3w + -3w Combine like terms: 4w + -3w = 1w -3 + 1w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + 1w = -2 + 0 -3 + 1w = -2 Add '3' to each side of the equation. -3 + 3 + 1w = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = -2 + 3 1w = -2 + 3 Combine like terms: -2 + 3 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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