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Simplifying -4(5w + -8) = 33 Reorder the terms: -4(-8 + 5w) = 33 (-8 * -4 + 5w * -4) = 33 (32 + -20w) = 33 Solving 32 + -20w = 33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -20w = 33 + -32 Combine like terms: 32 + -32 = 0 0 + -20w = 33 + -32 -20w = 33 + -32 Combine like terms: 33 + -32 = 1 -20w = 1 Divide each side by '-20'. w = -0.05 Simplifying w = -0.05
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