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Simplifying 38 = -4v + 7(v + 2) Reorder the terms: 38 = -4v + 7(2 + v) 38 = -4v + (2 * 7 + v * 7) 38 = -4v + (14 + 7v) Reorder the terms: 38 = 14 + -4v + 7v Combine like terms: -4v + 7v = 3v 38 = 14 + 3v Solving 38 = 14 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 38 + -3v = 14 + 3v + -3v Combine like terms: 3v + -3v = 0 38 + -3v = 14 + 0 38 + -3v = 14 Add '-38' to each side of the equation. 38 + -38 + -3v = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -3v = 14 + -38 -3v = 14 + -38 Combine like terms: 14 + -38 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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