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Simplifying -33 = 6w + 3(w + 4) Reorder the terms: -33 = 6w + 3(4 + w) -33 = 6w + (4 * 3 + w * 3) -33 = 6w + (12 + 3w) Reorder the terms: -33 = 12 + 6w + 3w Combine like terms: 6w + 3w = 9w -33 = 12 + 9w Solving -33 = 12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -33 + -9w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 -33 + -9w = 12 + 0 -33 + -9w = 12 Add '33' to each side of the equation. -33 + 33 + -9w = 12 + 33 Combine like terms: -33 + 33 = 0 0 + -9w = 12 + 33 -9w = 12 + 33 Combine like terms: 12 + 33 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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