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Simplifying 7(w + 1) = -2w + 16 Reorder the terms: 7(1 + w) = -2w + 16 (1 * 7 + w * 7) = -2w + 16 (7 + 7w) = -2w + 16 Reorder the terms: 7 + 7w = 16 + -2w Solving 7 + 7w = 16 + -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. 7 + 7w + 2w = 16 + -2w + 2w Combine like terms: 7w + 2w = 9w 7 + 9w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 9w = 16 + 0 7 + 9w = 16 Add '-7' to each side of the equation. 7 + -7 + 9w = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 9w = 16 + -7 9w = 16 + -7 Combine like terms: 16 + -7 = 9 9w = 9 Divide each side by '9'. w = 1 Simplifying w = 1
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