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Simplifying 28 + 2w = 5(5w + 1) Reorder the terms: 28 + 2w = 5(1 + 5w) 28 + 2w = (1 * 5 + 5w * 5) 28 + 2w = (5 + 25w) Solving 28 + 2w = 5 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. 28 + 2w + -25w = 5 + 25w + -25w Combine like terms: 2w + -25w = -23w 28 + -23w = 5 + 25w + -25w Combine like terms: 25w + -25w = 0 28 + -23w = 5 + 0 28 + -23w = 5 Add '-28' to each side of the equation. 28 + -28 + -23w = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -23w = 5 + -28 -23w = 5 + -28 Combine like terms: 5 + -28 = -23 -23w = -23 Divide each side by '-23'. w = 1 Simplifying w = 1
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