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Simplifying w + -2w + -1 = 8 + 3w + -3 Reorder the terms: -1 + w + -2w = 8 + 3w + -3 Combine like terms: w + -2w = -1w -1 + -1w = 8 + 3w + -3 Reorder the terms: -1 + -1w = 8 + -3 + 3w Combine like terms: 8 + -3 = 5 -1 + -1w = 5 + 3w Solving -1 + -1w = 5 + 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. -1 + -1w + -3w = 5 + 3w + -3w Combine like terms: -1w + -3w = -4w -1 + -4w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 + -4w = 5 + 0 -1 + -4w = 5 Add '1' to each side of the equation. -1 + 1 + -4w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = 5 + 1 -4w = 5 + 1 Combine like terms: 5 + 1 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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