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Simplifying 2(w + -6) = 9w + -33 Reorder the terms: 2(-6 + w) = 9w + -33 (-6 * 2 + w * 2) = 9w + -33 (-12 + 2w) = 9w + -33 Reorder the terms: -12 + 2w = -33 + 9w Solving -12 + 2w = -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. -12 + 2w + -9w = -33 + 9w + -9w Combine like terms: 2w + -9w = -7w -12 + -7w = -33 + 9w + -9w Combine like terms: 9w + -9w = 0 -12 + -7w = -33 + 0 -12 + -7w = -33 Add '12' to each side of the equation. -12 + 12 + -7w = -33 + 12 Combine like terms: -12 + 12 = 0 0 + -7w = -33 + 12 -7w = -33 + 12 Combine like terms: -33 + 12 = -21 -7w = -21 Divide each side by '-7'. w = 3 Simplifying w = 3
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