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Simplifying 7w + 33 = -2(w + 6) Reorder the terms: 33 + 7w = -2(w + 6) Reorder the terms: 33 + 7w = -2(6 + w) 33 + 7w = (6 * -2 + w * -2) 33 + 7w = (-12 + -2w) Solving 33 + 7w = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 33 + 7w + 2w = -12 + -2w + 2w Combine like terms: 7w + 2w = 9w 33 + 9w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 33 + 9w = -12 + 0 33 + 9w = -12 Add '-33' to each side of the equation. 33 + -33 + 9w = -12 + -33 Combine like terms: 33 + -33 = 0 0 + 9w = -12 + -33 9w = -12 + -33 Combine like terms: -12 + -33 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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