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Simplifying 5w + 3 + -2w = -21 + 33w + 10 Reorder the terms: 3 + 5w + -2w = -21 + 33w + 10 Combine like terms: 5w + -2w = 3w 3 + 3w = -21 + 33w + 10 Reorder the terms: 3 + 3w = -21 + 10 + 33w Combine like terms: -21 + 10 = -11 3 + 3w = -11 + 33w Solving 3 + 3w = -11 + 33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33w' to each side of the equation. 3 + 3w + -33w = -11 + 33w + -33w Combine like terms: 3w + -33w = -30w 3 + -30w = -11 + 33w + -33w Combine like terms: 33w + -33w = 0 3 + -30w = -11 + 0 3 + -30w = -11 Add '-3' to each side of the equation. 3 + -3 + -30w = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -30w = -11 + -3 -30w = -11 + -3 Combine like terms: -11 + -3 = -14 -30w = -14 Divide each side by '-30'. w = 0.4666666667 Simplifying w = 0.4666666667
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