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Simplifying -3 = 7(w + 6) + 2w Reorder the terms: -3 = 7(6 + w) + 2w -3 = (6 * 7 + w * 7) + 2w -3 = (42 + 7w) + 2w Combine like terms: 7w + 2w = 9w -3 = 42 + 9w Solving -3 = 42 + 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 + -9w = 42 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -9w = 42 + 0 -3 + -9w = 42 Add '3' to each side of the equation. -3 + 3 + -9w = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -9w = 42 + 3 -9w = 42 + 3 Combine like terms: 42 + 3 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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