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Simplifying -18w = 13 + -7(5w + -20) Reorder the terms: -18w = 13 + -7(-20 + 5w) -18w = 13 + (-20 * -7 + 5w * -7) -18w = 13 + (140 + -35w) Combine like terms: 13 + 140 = 153 -18w = 153 + -35w Solving -18w = 153 + -35w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35w' to each side of the equation. -18w + 35w = 153 + -35w + 35w Combine like terms: -18w + 35w = 17w 17w = 153 + -35w + 35w Combine like terms: -35w + 35w = 0 17w = 153 + 0 17w = 153 Divide each side by '17'. w = 9 Simplifying w = 9
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