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Simplifying 8 = 4(w + -2) + 4 Reorder the terms: 8 = 4(-2 + w) + 4 8 = (-2 * 4 + w * 4) + 4 8 = (-8 + 4w) + 4 Reorder the terms: 8 = -8 + 4 + 4w Combine like terms: -8 + 4 = -4 8 = -4 + 4w Solving 8 = -4 + 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. 8 + -4w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -4w = -4 + 0 8 + -4w = -4 Add '-8' to each side of the equation. 8 + -8 + -4w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = -4 + -8 -4w = -4 + -8 Combine like terms: -4 + -8 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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