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