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Simplifying -19w + 14 = -4w + -16 Reorder the terms: 14 + -19w = -4w + -16 Reorder the terms: 14 + -19w = -16 + -4w Solving 14 + -19w = -16 + -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 + -19w + 4w = -16 + -4w + 4w Combine like terms: -19w + 4w = -15w 14 + -15w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 14 + -15w = -16 + 0 14 + -15w = -16 Add '-14' to each side of the equation. 14 + -14 + -15w = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -15w = -16 + -14 -15w = -16 + -14 Combine like terms: -16 + -14 = -30 -15w = -30 Divide each side by '-15'. w = 2 Simplifying w = 2
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