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Simplifying 90 = 9[w + 1] Reorder the terms: 90 = 9[1 + w] 90 = [1 * 9 + w * 9] 90 = [9 + 9w] Solving 90 = 9 + 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. 90 + -9w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 90 + -9w = 9 + 0 90 + -9w = 9 Add '-90' to each side of the equation. 90 + -90 + -9w = 9 + -90 Combine like terms: 90 + -90 = 0 0 + -9w = 9 + -90 -9w = 9 + -90 Combine like terms: 9 + -90 = -81 -9w = -81 Divide each side by '-9'. w = 9 Simplifying w = 9
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