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Simplifying 11 = 29 + -8(-1 + -5w) 11 = 29 + (-1 * -8 + -5w * -8) 11 = 29 + (8 + 40w) Combine like terms: 29 + 8 = 37 11 = 37 + 40w Solving 11 = 37 + 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. 11 + -40w = 37 + 40w + -40w Combine like terms: 40w + -40w = 0 11 + -40w = 37 + 0 11 + -40w = 37 Add '-11' to each side of the equation. 11 + -11 + -40w = 37 + -11 Combine like terms: 11 + -11 = 0 0 + -40w = 37 + -11 -40w = 37 + -11 Combine like terms: 37 + -11 = 26 -40w = 26 Divide each side by '-40'. w = -0.65 Simplifying w = -0.65
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