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Simplifying 0 = 9(w + 2) + 3(w + -5) Reorder the terms: 0 = 9(2 + w) + 3(w + -5) 0 = (2 * 9 + w * 9) + 3(w + -5) 0 = (18 + 9w) + 3(w + -5) Reorder the terms: 0 = 18 + 9w + 3(-5 + w) 0 = 18 + 9w + (-5 * 3 + w * 3) 0 = 18 + 9w + (-15 + 3w) Reorder the terms: 0 = 18 + -15 + 9w + 3w Combine like terms: 18 + -15 = 3 0 = 3 + 9w + 3w Combine like terms: 9w + 3w = 12w 0 = 3 + 12w Solving 0 = 3 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 0 + -12w = 3 + 12w + -12w Remove the zero: -12w = 3 + 12w + -12w Combine like terms: 12w + -12w = 0 -12w = 3 + 0 -12w = 3 Divide each side by '-12'. w = -0.25 Simplifying w = -0.25
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