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Simplifying 3w + -1 + -14w = 4 + -2w Reorder the terms: -1 + 3w + -14w = 4 + -2w Combine like terms: 3w + -14w = -11w -1 + -11w = 4 + -2w Solving -1 + -11w = 4 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -1 + -11w + 2w = 4 + -2w + 2w Combine like terms: -11w + 2w = -9w -1 + -9w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 -1 + -9w = 4 + 0 -1 + -9w = 4 Add '1' to each side of the equation. -1 + 1 + -9w = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -9w = 4 + 1 -9w = 4 + 1 Combine like terms: 4 + 1 = 5 -9w = 5 Divide each side by '-9'. w = -0.5555555556 Simplifying w = -0.5555555556
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