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Simplifying 14 = 3w + -13 Reorder the terms: 14 = -13 + 3w Solving 14 = -13 + 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. 14 + -3w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -3w = -13 + 0 14 + -3w = -13 Add '-14' to each side of the equation. 14 + -14 + -3w = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -13 + -14 -3w = -13 + -14 Combine like terms: -13 + -14 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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