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Simplifying 2w + -14 = 7w + 1 Reorder the terms: -14 + 2w = 7w + 1 Reorder the terms: -14 + 2w = 1 + 7w Solving -14 + 2w = 1 + 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. -14 + 2w + -7w = 1 + 7w + -7w Combine like terms: 2w + -7w = -5w -14 + -5w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 -14 + -5w = 1 + 0 -14 + -5w = 1 Add '14' to each side of the equation. -14 + 14 + -5w = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -5w = 1 + 14 -5w = 1 + 14 Combine like terms: 1 + 14 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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