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Simplifying 7w + 19 = 9(w + 3) Reorder the terms: 19 + 7w = 9(w + 3) Reorder the terms: 19 + 7w = 9(3 + w) 19 + 7w = (3 * 9 + w * 9) 19 + 7w = (27 + 9w) Solving 19 + 7w = 27 + 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. 19 + 7w + -9w = 27 + 9w + -9w Combine like terms: 7w + -9w = -2w 19 + -2w = 27 + 9w + -9w Combine like terms: 9w + -9w = 0 19 + -2w = 27 + 0 19 + -2w = 27 Add '-19' to each side of the equation. 19 + -19 + -2w = 27 + -19 Combine like terms: 19 + -19 = 0 0 + -2w = 27 + -19 -2w = 27 + -19 Combine like terms: 27 + -19 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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