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Simplifying 19w + -14 = 4(4w + 7) Reorder the terms: -14 + 19w = 4(4w + 7) Reorder the terms: -14 + 19w = 4(7 + 4w) -14 + 19w = (7 * 4 + 4w * 4) -14 + 19w = (28 + 16w) Solving -14 + 19w = 28 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -14 + 19w + -16w = 28 + 16w + -16w Combine like terms: 19w + -16w = 3w -14 + 3w = 28 + 16w + -16w Combine like terms: 16w + -16w = 0 -14 + 3w = 28 + 0 -14 + 3w = 28 Add '14' to each side of the equation. -14 + 14 + 3w = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = 28 + 14 3w = 28 + 14 Combine like terms: 28 + 14 = 42 3w = 42 Divide each side by '3'. w = 14 Simplifying w = 14
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