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Simplifying 5w + 15 = 3w + 1 Reorder the terms: 15 + 5w = 3w + 1 Reorder the terms: 15 + 5w = 1 + 3w Solving 15 + 5w = 1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 15 + 5w + -3w = 1 + 3w + -3w Combine like terms: 5w + -3w = 2w 15 + 2w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 2w = 1 + 0 15 + 2w = 1 Add '-15' to each side of the equation. 15 + -15 + 2w = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 1 + -15 2w = 1 + -15 Combine like terms: 1 + -15 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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