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Simplifying -4(w + -6) + 7 = -33 Reorder the terms: -4(-6 + w) + 7 = -33 (-6 * -4 + w * -4) + 7 = -33 (24 + -4w) + 7 = -33 Reorder the terms: 24 + 7 + -4w = -33 Combine like terms: 24 + 7 = 31 31 + -4w = -33 Solving 31 + -4w = -33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4w = -33 + -31 Combine like terms: 31 + -31 = 0 0 + -4w = -33 + -31 -4w = -33 + -31 Combine like terms: -33 + -31 = -64 -4w = -64 Divide each side by '-4'. w = 16 Simplifying w = 16
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