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Simplifying 7v + 19 = 4(v + 1) Reorder the terms: 19 + 7v = 4(v + 1) Reorder the terms: 19 + 7v = 4(1 + v) 19 + 7v = (1 * 4 + v * 4) 19 + 7v = (4 + 4v) Solving 19 + 7v = 4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 19 + 7v + -4v = 4 + 4v + -4v Combine like terms: 7v + -4v = 3v 19 + 3v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 19 + 3v = 4 + 0 19 + 3v = 4 Add '-19' to each side of the equation. 19 + -19 + 3v = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3v = 4 + -19 3v = 4 + -19 Combine like terms: 4 + -19 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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