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Simplifying 19w + 16 = 4(7 + w) + 13 Reorder the terms: 16 + 19w = 4(7 + w) + 13 16 + 19w = (7 * 4 + w * 4) + 13 16 + 19w = (28 + 4w) + 13 Reorder the terms: 16 + 19w = 28 + 13 + 4w Combine like terms: 28 + 13 = 41 16 + 19w = 41 + 4w Solving 16 + 19w = 41 + 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. 16 + 19w + -4w = 41 + 4w + -4w Combine like terms: 19w + -4w = 15w 16 + 15w = 41 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + 15w = 41 + 0 16 + 15w = 41 Add '-16' to each side of the equation. 16 + -16 + 15w = 41 + -16 Combine like terms: 16 + -16 = 0 0 + 15w = 41 + -16 15w = 41 + -16 Combine like terms: 41 + -16 = 25 15w = 25 Divide each side by '15'. w = 1.666666667 Simplifying w = 1.666666667
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