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Simplifying -8(w + 3) = -5w + -33 Reorder the terms: -8(3 + w) = -5w + -33 (3 * -8 + w * -8) = -5w + -33 (-24 + -8w) = -5w + -33 Reorder the terms: -24 + -8w = -33 + -5w Solving -24 + -8w = -33 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -24 + -8w + 5w = -33 + -5w + 5w Combine like terms: -8w + 5w = -3w -24 + -3w = -33 + -5w + 5w Combine like terms: -5w + 5w = 0 -24 + -3w = -33 + 0 -24 + -3w = -33 Add '24' to each side of the equation. -24 + 24 + -3w = -33 + 24 Combine like terms: -24 + 24 = 0 0 + -3w = -33 + 24 -3w = -33 + 24 Combine like terms: -33 + 24 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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