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Simplifying -33w + 22 + -5 = 4w + -38 Reorder the terms: 22 + -5 + -33w = 4w + -38 Combine like terms: 22 + -5 = 17 17 + -33w = 4w + -38 Reorder the terms: 17 + -33w = -38 + 4w Solving 17 + -33w = -38 + 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. 17 + -33w + -4w = -38 + 4w + -4w Combine like terms: -33w + -4w = -37w 17 + -37w = -38 + 4w + -4w Combine like terms: 4w + -4w = 0 17 + -37w = -38 + 0 17 + -37w = -38 Add '-17' to each side of the equation. 17 + -17 + -37w = -38 + -17 Combine like terms: 17 + -17 = 0 0 + -37w = -38 + -17 -37w = -38 + -17 Combine like terms: -38 + -17 = -55 -37w = -55 Divide each side by '-37'. w = 1.486486486 Simplifying w = 1.486486486
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