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Simplifying 9w + 10 = 4(w + -5) Reorder the terms: 10 + 9w = 4(w + -5) Reorder the terms: 10 + 9w = 4(-5 + w) 10 + 9w = (-5 * 4 + w * 4) 10 + 9w = (-20 + 4w) Solving 10 + 9w = -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. 10 + 9w + -4w = -20 + 4w + -4w Combine like terms: 9w + -4w = 5w 10 + 5w = -20 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 5w = -20 + 0 10 + 5w = -20 Add '-10' to each side of the equation. 10 + -10 + 5w = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 5w = -20 + -10 5w = -20 + -10 Combine like terms: -20 + -10 = -30 5w = -30 Divide each side by '5'. w = -6 Simplifying w = -6
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