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Simplifying 33 = 6(w + 8) + -3w Reorder the terms: 33 = 6(8 + w) + -3w 33 = (8 * 6 + w * 6) + -3w 33 = (48 + 6w) + -3w Combine like terms: 6w + -3w = 3w 33 = 48 + 3w Solving 33 = 48 + 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 = 48 + 3w + -3w Combine like terms: 3w + -3w = 0 33 + -3w = 48 + 0 33 + -3w = 48 Add '-33' to each side of the equation. 33 + -33 + -3w = 48 + -33 Combine like terms: 33 + -33 = 0 0 + -3w = 48 + -33 -3w = 48 + -33 Combine like terms: 48 + -33 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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