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Simplifying 7(w + 6) + -9w = 42 Reorder the terms: 7(6 + w) + -9w = 42 (6 * 7 + w * 7) + -9w = 42 (42 + 7w) + -9w = 42 Combine like terms: 7w + -9w = -2w 42 + -2w = 42 Add '-42' to each side of the equation. 42 + -42 + -2w = 42 + -42 Combine like terms: 42 + -42 = 0 0 + -2w = 42 + -42 -2w = 42 + -42 Combine like terms: 42 + -42 = 0 -2w = 0 Solving -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '-2'. w = 0 Simplifying w = 0
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