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Simplifying 30 = 3(w + -5) + 6w Reorder the terms: 30 = 3(-5 + w) + 6w 30 = (-5 * 3 + w * 3) + 6w 30 = (-15 + 3w) + 6w Combine like terms: 3w + 6w = 9w 30 = -15 + 9w Solving 30 = -15 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 30 + -9w = -15 + 9w + -9w Combine like terms: 9w + -9w = 0 30 + -9w = -15 + 0 30 + -9w = -15 Add '-30' to each side of the equation. 30 + -30 + -9w = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -9w = -15 + -30 -9w = -15 + -30 Combine like terms: -15 + -30 = -45 -9w = -45 Divide each side by '-9'. w = 5 Simplifying w = 5
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