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Simplifying 7w + -33 = 5(w + -5) Reorder the terms: -33 + 7w = 5(w + -5) Reorder the terms: -33 + 7w = 5(-5 + w) -33 + 7w = (-5 * 5 + w * 5) -33 + 7w = (-25 + 5w) Solving -33 + 7w = -25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -33 + 7w + -5w = -25 + 5w + -5w Combine like terms: 7w + -5w = 2w -33 + 2w = -25 + 5w + -5w Combine like terms: 5w + -5w = 0 -33 + 2w = -25 + 0 -33 + 2w = -25 Add '33' to each side of the equation. -33 + 33 + 2w = -25 + 33 Combine like terms: -33 + 33 = 0 0 + 2w = -25 + 33 2w = -25 + 33 Combine like terms: -25 + 33 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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