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Simplifying 40 = 32 + -3(-4 + -5w) 40 = 32 + (-4 * -3 + -5w * -3) 40 = 32 + (12 + 15w) Combine like terms: 32 + 12 = 44 40 = 44 + 15w Solving 40 = 44 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 40 + -15w = 44 + 15w + -15w Combine like terms: 15w + -15w = 0 40 + -15w = 44 + 0 40 + -15w = 44 Add '-40' to each side of the equation. 40 + -40 + -15w = 44 + -40 Combine like terms: 40 + -40 = 0 0 + -15w = 44 + -40 -15w = 44 + -40 Combine like terms: 44 + -40 = 4 -15w = 4 Divide each side by '-15'. w = -0.2666666667 Simplifying w = -0.2666666667
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