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Simplifying -14 = 4(5 + w) + 2 -14 = (5 * 4 + w * 4) + 2 -14 = (20 + 4w) + 2 Reorder the terms: -14 = 20 + 2 + 4w Combine like terms: 20 + 2 = 22 -14 = 22 + 4w Solving -14 = 22 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -14 + -4w = 22 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + -4w = 22 + 0 -14 + -4w = 22 Add '14' to each side of the equation. -14 + 14 + -4w = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -4w = 22 + 14 -4w = 22 + 14 Combine like terms: 22 + 14 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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