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Simplifying -3(1 + w) + 4w = 8 (1 * -3 + w * -3) + 4w = 8 (-3 + -3w) + 4w = 8 Combine like terms: -3w + 4w = 1w -3 + 1w = 8 Solving -3 + 1w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1w = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 8 + 3 1w = 8 + 3 Combine like terms: 8 + 3 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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