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Simplifying -3(w + 1) = -9w + -33 Reorder the terms: -3(1 + w) = -9w + -33 (1 * -3 + w * -3) = -9w + -33 (-3 + -3w) = -9w + -33 Reorder the terms: -3 + -3w = -33 + -9w Solving -3 + -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. -3 + -3w + 9w = -33 + -9w + 9w Combine like terms: -3w + 9w = 6w -3 + 6w = -33 + -9w + 9w Combine like terms: -9w + 9w = 0 -3 + 6w = -33 + 0 -3 + 6w = -33 Add '3' to each side of the equation. -3 + 3 + 6w = -33 + 3 Combine like terms: -3 + 3 = 0 0 + 6w = -33 + 3 6w = -33 + 3 Combine like terms: -33 + 3 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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