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Simplifying -3w + 33 = 6(w + 4) Reorder the terms: 33 + -3w = 6(w + 4) Reorder the terms: 33 + -3w = 6(4 + w) 33 + -3w = (4 * 6 + w * 6) 33 + -3w = (24 + 6w) Solving 33 + -3w = 24 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 33 + -3w + -6w = 24 + 6w + -6w Combine like terms: -3w + -6w = -9w 33 + -9w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 33 + -9w = 24 + 0 33 + -9w = 24 Add '-33' to each side of the equation. 33 + -33 + -9w = 24 + -33 Combine like terms: 33 + -33 = 0 0 + -9w = 24 + -33 -9w = 24 + -33 Combine like terms: 24 + -33 = -9 -9w = -9 Divide each side by '-9'. w = 1 Simplifying w = 1
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