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Simplifying -7w + 33 = -2(w + -9) Reorder the terms: 33 + -7w = -2(w + -9) Reorder the terms: 33 + -7w = -2(-9 + w) 33 + -7w = (-9 * -2 + w * -2) 33 + -7w = (18 + -2w) Solving 33 + -7w = 18 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 33 + -7w + 2w = 18 + -2w + 2w Combine like terms: -7w + 2w = -5w 33 + -5w = 18 + -2w + 2w Combine like terms: -2w + 2w = 0 33 + -5w = 18 + 0 33 + -5w = 18 Add '-33' to each side of the equation. 33 + -33 + -5w = 18 + -33 Combine like terms: 33 + -33 = 0 0 + -5w = 18 + -33 -5w = 18 + -33 Combine like terms: 18 + -33 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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