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Simplifying 19w + -5 = 4(7 + w) + -3 Reorder the terms: -5 + 19w = 4(7 + w) + -3 -5 + 19w = (7 * 4 + w * 4) + -3 -5 + 19w = (28 + 4w) + -3 Reorder the terms: -5 + 19w = 28 + -3 + 4w Combine like terms: 28 + -3 = 25 -5 + 19w = 25 + 4w Solving -5 + 19w = 25 + 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. -5 + 19w + -4w = 25 + 4w + -4w Combine like terms: 19w + -4w = 15w -5 + 15w = 25 + 4w + -4w Combine like terms: 4w + -4w = 0 -5 + 15w = 25 + 0 -5 + 15w = 25 Add '5' to each side of the equation. -5 + 5 + 15w = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 15w = 25 + 5 15w = 25 + 5 Combine like terms: 25 + 5 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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