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Simplifying 9x + 27 = 9(x + w) + 9 Reorder the terms: 27 + 9x = 9(x + w) + 9 Reorder the terms: 27 + 9x = 9(w + x) + 9 27 + 9x = (w * 9 + x * 9) + 9 27 + 9x = (9w + 9x) + 9 Reorder the terms: 27 + 9x = 9 + 9w + 9x Add '-9x' to each side of the equation. 27 + 9x + -9x = 9 + 9w + 9x + -9x Combine like terms: 9x + -9x = 0 27 + 0 = 9 + 9w + 9x + -9x 27 = 9 + 9w + 9x + -9x Combine like terms: 9x + -9x = 0 27 = 9 + 9w + 0 27 = 9 + 9w Solving 27 = 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. 27 + -9w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 27 + -9w = 9 + 0 27 + -9w = 9 Add '-27' to each side of the equation. 27 + -27 + -9w = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -9w = 9 + -27 -9w = 9 + -27 Combine like terms: 9 + -27 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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