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Simplifying 10 = 20 + -8(4 + -5w) 10 = 20 + (4 * -8 + -5w * -8) 10 = 20 + (-32 + 40w) Combine like terms: 20 + -32 = -12 10 = -12 + 40w Solving 10 = -12 + 40w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40w' to each side of the equation. 10 + -40w = -12 + 40w + -40w Combine like terms: 40w + -40w = 0 10 + -40w = -12 + 0 10 + -40w = -12 Add '-10' to each side of the equation. 10 + -10 + -40w = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -40w = -12 + -10 -40w = -12 + -10 Combine like terms: -12 + -10 = -22 -40w = -22 Divide each side by '-40'. w = 0.55 Simplifying w = 0.55
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