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Simplifying 30 = 6(w + -82) Reorder the terms: 30 = 6(-82 + w) 30 = (-82 * 6 + w * 6) 30 = (-492 + 6w) Solving 30 = -492 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 30 + -6w = -492 + 6w + -6w Combine like terms: 6w + -6w = 0 30 + -6w = -492 + 0 30 + -6w = -492 Add '-30' to each side of the equation. 30 + -30 + -6w = -492 + -30 Combine like terms: 30 + -30 = 0 0 + -6w = -492 + -30 -6w = -492 + -30 Combine like terms: -492 + -30 = -522 -6w = -522 Divide each side by '-6'. w = 87 Simplifying w = 87
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