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Simplifying 14 = 1 + -1(w + -4) Reorder the terms: 14 = 1 + -1(-4 + w) 14 = 1 + (-4 * -1 + w * -1) 14 = 1 + (4 + -1w) Combine like terms: 1 + 4 = 5 14 = 5 + -1w Solving 14 = 5 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 14 + w = 5 + -1w + w Combine like terms: -1w + w = 0 14 + w = 5 + 0 14 + w = 5 Add '-14' to each side of the equation. 14 + -14 + w = 5 + -14 Combine like terms: 14 + -14 = 0 0 + w = 5 + -14 w = 5 + -14 Combine like terms: 5 + -14 = -9 w = -9 Simplifying w = -9
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