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Simplifying 30 + -9w = 4(15 + -1w) 30 + -9w = (15 * 4 + -1w * 4) 30 + -9w = (60 + -4w) Solving 30 + -9w = 60 + -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. 30 + -9w + 4w = 60 + -4w + 4w Combine like terms: -9w + 4w = -5w 30 + -5w = 60 + -4w + 4w Combine like terms: -4w + 4w = 0 30 + -5w = 60 + 0 30 + -5w = 60 Add '-30' to each side of the equation. 30 + -30 + -5w = 60 + -30 Combine like terms: 30 + -30 = 0 0 + -5w = 60 + -30 -5w = 60 + -30 Combine like terms: 60 + -30 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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