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Simplifying 49 = 26 + -8(3 + -5w) 49 = 26 + (3 * -8 + -5w * -8) 49 = 26 + (-24 + 40w) Combine like terms: 26 + -24 = 2 49 = 2 + 40w Solving 49 = 2 + 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. 49 + -40w = 2 + 40w + -40w Combine like terms: 40w + -40w = 0 49 + -40w = 2 + 0 49 + -40w = 2 Add '-49' to each side of the equation. 49 + -49 + -40w = 2 + -49 Combine like terms: 49 + -49 = 0 0 + -40w = 2 + -49 -40w = 2 + -49 Combine like terms: 2 + -49 = -47 -40w = -47 Divide each side by '-40'. w = 1.175 Simplifying w = 1.175
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