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Simplifying 7w + -9 = 9(w + 1) Reorder the terms: -9 + 7w = 9(w + 1) Reorder the terms: -9 + 7w = 9(1 + w) -9 + 7w = (1 * 9 + w * 9) -9 + 7w = (9 + 9w) Solving -9 + 7w = 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. -9 + 7w + -9w = 9 + 9w + -9w Combine like terms: 7w + -9w = -2w -9 + -2w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 -9 + -2w = 9 + 0 -9 + -2w = 9 Add '9' to each side of the equation. -9 + 9 + -2w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = 9 + 9 -2w = 9 + 9 Combine like terms: 9 + 9 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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