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Simplifying 8w + 2 = 4(w + -5) Reorder the terms: 2 + 8w = 4(w + -5) Reorder the terms: 2 + 8w = 4(-5 + w) 2 + 8w = (-5 * 4 + w * 4) 2 + 8w = (-20 + 4w) Solving 2 + 8w = -20 + 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. 2 + 8w + -4w = -20 + 4w + -4w Combine like terms: 8w + -4w = 4w 2 + 4w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + 4w = -20 + 0 2 + 4w = -20 Add '-2' to each side of the equation. 2 + -2 + 4w = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = -20 + -2 4w = -20 + -2 Combine like terms: -20 + -2 = -22 4w = -22 Divide each side by '4'. w = -5.5 Simplifying w = -5.5
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