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Simplifying 2w + -33 = -3(w + 1) Reorder the terms: -33 + 2w = -3(w + 1) Reorder the terms: -33 + 2w = -3(1 + w) -33 + 2w = (1 * -3 + w * -3) -33 + 2w = (-3 + -3w) Solving -33 + 2w = -3 + -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 + 2w + 3w = -3 + -3w + 3w Combine like terms: 2w + 3w = 5w -33 + 5w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 -33 + 5w = -3 + 0 -33 + 5w = -3 Add '33' to each side of the equation. -33 + 33 + 5w = -3 + 33 Combine like terms: -33 + 33 = 0 0 + 5w = -3 + 33 5w = -3 + 33 Combine like terms: -3 + 33 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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