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Simplifying -6w + 3(w + -8) = -33 Reorder the terms: -6w + 3(-8 + w) = -33 -6w + (-8 * 3 + w * 3) = -33 -6w + (-24 + 3w) = -33 Reorder the terms: -24 + -6w + 3w = -33 Combine like terms: -6w + 3w = -3w -24 + -3w = -33 Solving -24 + -3w = -33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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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