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Simplifying 15 + 5(w + 2) = 7w + 4 Reorder the terms: 15 + 5(2 + w) = 7w + 4 15 + (2 * 5 + w * 5) = 7w + 4 15 + (10 + 5w) = 7w + 4 Combine like terms: 15 + 10 = 25 25 + 5w = 7w + 4 Reorder the terms: 25 + 5w = 4 + 7w Solving 25 + 5w = 4 + 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. 25 + 5w + -7w = 4 + 7w + -7w Combine like terms: 5w + -7w = -2w 25 + -2w = 4 + 7w + -7w Combine like terms: 7w + -7w = 0 25 + -2w = 4 + 0 25 + -2w = 4 Add '-25' to each side of the equation. 25 + -25 + -2w = 4 + -25 Combine like terms: 25 + -25 = 0 0 + -2w = 4 + -25 -2w = 4 + -25 Combine like terms: 4 + -25 = -21 -2w = -21 Divide each side by '-2'. w = 10.5 Simplifying w = 10.5
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