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Simplifying 7w + -3 = 9(w + 1) Reorder the terms: -3 + 7w = 9(w + 1) Reorder the terms: -3 + 7w = 9(1 + w) -3 + 7w = (1 * 9 + w * 9) -3 + 7w = (9 + 9w) Solving -3 + 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. -3 + 7w + -9w = 9 + 9w + -9w Combine like terms: 7w + -9w = -2w -3 + -2w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -2w = 9 + 0 -3 + -2w = 9 Add '3' to each side of the equation. -3 + 3 + -2w = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 9 + 3 -2w = 9 + 3 Combine like terms: 9 + 3 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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