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Simplifying 5w + 28 = 7(w + 2) Reorder the terms: 28 + 5w = 7(w + 2) Reorder the terms: 28 + 5w = 7(2 + w) 28 + 5w = (2 * 7 + w * 7) 28 + 5w = (14 + 7w) Solving 28 + 5w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 28 + 5w + -7w = 14 + 7w + -7w Combine like terms: 5w + -7w = -2w 28 + -2w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 28 + -2w = 14 + 0 28 + -2w = 14 Add '-28' to each side of the equation. 28 + -28 + -2w = 14 + -28 Combine like terms: 28 + -28 = 0 0 + -2w = 14 + -28 -2w = 14 + -28 Combine like terms: 14 + -28 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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