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Simplifying -5(1 + w) + 4w = 8 (1 * -5 + w * -5) + 4w = 8 (-5 + -5w) + 4w = 8 Combine like terms: -5w + 4w = -1w -5 + -1w = 8 Solving -5 + -1w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1w = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 8 + 5 -1w = 8 + 5 Combine like terms: 8 + 5 = 13 -1w = 13 Divide each side by '-1'. w = -13 Simplifying w = -13
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