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Simplifying -3w + -3 + 8 = -4w + 1 Reorder the terms: -3 + 8 + -3w = -4w + 1 Combine like terms: -3 + 8 = 5 5 + -3w = -4w + 1 Reorder the terms: 5 + -3w = 1 + -4w Solving 5 + -3w = 1 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 5 + -3w + 4w = 1 + -4w + 4w Combine like terms: -3w + 4w = 1w 5 + 1w = 1 + -4w + 4w Combine like terms: -4w + 4w = 0 5 + 1w = 1 + 0 5 + 1w = 1 Add '-5' to each side of the equation. 5 + -5 + 1w = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 1 + -5 1w = 1 + -5 Combine like terms: 1 + -5 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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