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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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