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Simplifying 7(w + 1) = 9w + 3 Reorder the terms: 7(1 + w) = 9w + 3 (1 * 7 + w * 7) = 9w + 3 (7 + 7w) = 9w + 3 Reorder the terms: 7 + 7w = 3 + 9w Solving 7 + 7w = 3 + 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. 7 + 7w + -9w = 3 + 9w + -9w Combine like terms: 7w + -9w = -2w 7 + -2w = 3 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -2w = 3 + 0 7 + -2w = 3 Add '-7' to each side of the equation. 7 + -7 + -2w = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 3 + -7 -2w = 3 + -7 Combine like terms: 3 + -7 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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