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Simplifying -3(w + 5) = -9w + 33 Reorder the terms: -3(5 + w) = -9w + 33 (5 * -3 + w * -3) = -9w + 33 (-15 + -3w) = -9w + 33 Reorder the terms: -15 + -3w = 33 + -9w Solving -15 + -3w = 33 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -15 + -3w + 9w = 33 + -9w + 9w Combine like terms: -3w + 9w = 6w -15 + 6w = 33 + -9w + 9w Combine like terms: -9w + 9w = 0 -15 + 6w = 33 + 0 -15 + 6w = 33 Add '15' to each side of the equation. -15 + 15 + 6w = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 6w = 33 + 15 6w = 33 + 15 Combine like terms: 33 + 15 = 48 6w = 48 Divide each side by '6'. w = 8 Simplifying w = 8
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