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Simplifying -6(w + 3) = 9w + -33 Reorder the terms: -6(3 + w) = 9w + -33 (3 * -6 + w * -6) = 9w + -33 (-18 + -6w) = 9w + -33 Reorder the terms: -18 + -6w = -33 + 9w Solving -18 + -6w = -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. -18 + -6w + -9w = -33 + 9w + -9w Combine like terms: -6w + -9w = -15w -18 + -15w = -33 + 9w + -9w Combine like terms: 9w + -9w = 0 -18 + -15w = -33 + 0 -18 + -15w = -33 Add '18' to each side of the equation. -18 + 18 + -15w = -33 + 18 Combine like terms: -18 + 18 = 0 0 + -15w = -33 + 18 -15w = -33 + 18 Combine like terms: -33 + 18 = -15 -15w = -15 Divide each side by '-15'. w = 1 Simplifying w = 1
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