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Simplifying 8(10 + -6w) = 7(7w + 2) (10 * 8 + -6w * 8) = 7(7w + 2) (80 + -48w) = 7(7w + 2) Reorder the terms: 80 + -48w = 7(2 + 7w) 80 + -48w = (2 * 7 + 7w * 7) 80 + -48w = (14 + 49w) Solving 80 + -48w = 14 + 49w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49w' to each side of the equation. 80 + -48w + -49w = 14 + 49w + -49w Combine like terms: -48w + -49w = -97w 80 + -97w = 14 + 49w + -49w Combine like terms: 49w + -49w = 0 80 + -97w = 14 + 0 80 + -97w = 14 Add '-80' to each side of the equation. 80 + -80 + -97w = 14 + -80 Combine like terms: 80 + -80 = 0 0 + -97w = 14 + -80 -97w = 14 + -80 Combine like terms: 14 + -80 = -66 -97w = -66 Divide each side by '-97'. w = 0.6804123711 Simplifying w = 0.6804123711
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