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Simplifying 8(-6w + -20) = -18w + 9 + -17w Reorder the terms: 8(-20 + -6w) = -18w + 9 + -17w (-20 * 8 + -6w * 8) = -18w + 9 + -17w (-160 + -48w) = -18w + 9 + -17w Reorder the terms: -160 + -48w = 9 + -18w + -17w Combine like terms: -18w + -17w = -35w -160 + -48w = 9 + -35w Solving -160 + -48w = 9 + -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. -160 + -48w + 35w = 9 + -35w + 35w Combine like terms: -48w + 35w = -13w -160 + -13w = 9 + -35w + 35w Combine like terms: -35w + 35w = 0 -160 + -13w = 9 + 0 -160 + -13w = 9 Add '160' to each side of the equation. -160 + 160 + -13w = 9 + 160 Combine like terms: -160 + 160 = 0 0 + -13w = 9 + 160 -13w = 9 + 160 Combine like terms: 9 + 160 = 169 -13w = 169 Divide each side by '-13'. w = -13 Simplifying w = -13
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