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Simplifying 2w + -5(w + 4) = -14 Reorder the terms: 2w + -5(4 + w) = -14 2w + (4 * -5 + w * -5) = -14 2w + (-20 + -5w) = -14 Reorder the terms: -20 + 2w + -5w = -14 Combine like terms: 2w + -5w = -3w -20 + -3w = -14 Solving -20 + -3w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3w = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = -14 + 20 -3w = -14 + 20 Combine like terms: -14 + 20 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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