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Simplifying -5(w + -4) = -2w + 14 Reorder the terms: -5(-4 + w) = -2w + 14 (-4 * -5 + w * -5) = -2w + 14 (20 + -5w) = -2w + 14 Reorder the terms: 20 + -5w = 14 + -2w Solving 20 + -5w = 14 + -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. 20 + -5w + 2w = 14 + -2w + 2w Combine like terms: -5w + 2w = -3w 20 + -3w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + -3w = 14 + 0 20 + -3w = 14 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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