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Simplifying 9w + -26 = 2(w + 1) Reorder the terms: -26 + 9w = 2(w + 1) Reorder the terms: -26 + 9w = 2(1 + w) -26 + 9w = (1 * 2 + w * 2) -26 + 9w = (2 + 2w) Solving -26 + 9w = 2 + 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. -26 + 9w + -2w = 2 + 2w + -2w Combine like terms: 9w + -2w = 7w -26 + 7w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 -26 + 7w = 2 + 0 -26 + 7w = 2 Add '26' to each side of the equation. -26 + 26 + 7w = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 7w = 2 + 26 7w = 2 + 26 Combine like terms: 2 + 26 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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