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Simplifying 33 = -6w + 3(w + 6) Reorder the terms: 33 = -6w + 3(6 + w) 33 = -6w + (6 * 3 + w * 3) 33 = -6w + (18 + 3w) Reorder the terms: 33 = 18 + -6w + 3w Combine like terms: -6w + 3w = -3w 33 = 18 + -3w Solving 33 = 18 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 33 + 3w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 33 + 3w = 18 + 0 33 + 3w = 18 Add '-33' to each side of the equation. 33 + -33 + 3w = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 3w = 18 + -33 3w = 18 + -33 Combine like terms: 18 + -33 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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