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Simplifying 9w + -28 = 2(w + 7) Reorder the terms: -28 + 9w = 2(w + 7) Reorder the terms: -28 + 9w = 2(7 + w) -28 + 9w = (7 * 2 + w * 2) -28 + 9w = (14 + 2w) Solving -28 + 9w = 14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -28 + 9w + -2w = 14 + 2w + -2w Combine like terms: 9w + -2w = 7w -28 + 7w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 -28 + 7w = 14 + 0 -28 + 7w = 14 Add '28' to each side of the equation. -28 + 28 + 7w = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 7w = 14 + 28 7w = 14 + 28 Combine like terms: 14 + 28 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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