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Simplifying 5w + 28 = 7w + 20 Reorder the terms: 28 + 5w = 7w + 20 Reorder the terms: 28 + 5w = 20 + 7w Solving 28 + 5w = 20 + 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 = 20 + 7w + -7w Combine like terms: 5w + -7w = -2w 28 + -2w = 20 + 7w + -7w Combine like terms: 7w + -7w = 0 28 + -2w = 20 + 0 28 + -2w = 20 Add '-28' to each side of the equation. 28 + -28 + -2w = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -2w = 20 + -28 -2w = 20 + -28 Combine like terms: 20 + -28 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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