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Simplifying 9w + 2 = 4(w + -2) Reorder the terms: 2 + 9w = 4(w + -2) Reorder the terms: 2 + 9w = 4(-2 + w) 2 + 9w = (-2 * 4 + w * 4) 2 + 9w = (-8 + 4w) Solving 2 + 9w = -8 + 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 + 9w + -4w = -8 + 4w + -4w Combine like terms: 9w + -4w = 5w 2 + 5w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + 5w = -8 + 0 2 + 5w = -8 Add '-2' to each side of the equation. 2 + -2 + 5w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = -8 + -2 5w = -8 + -2 Combine like terms: -8 + -2 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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