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Simplifying 8w + -2 = 3w + 33 Reorder the terms: -2 + 8w = 3w + 33 Reorder the terms: -2 + 8w = 33 + 3w Solving -2 + 8w = 33 + 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. -2 + 8w + -3w = 33 + 3w + -3w Combine like terms: 8w + -3w = 5w -2 + 5w = 33 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 5w = 33 + 0 -2 + 5w = 33 Add '2' to each side of the equation. -2 + 2 + 5w = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = 33 + 2 5w = 33 + 2 Combine like terms: 33 + 2 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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