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Simplifying 38 = 7(v + 5) + -4v Reorder the terms: 38 = 7(5 + v) + -4v 38 = (5 * 7 + v * 7) + -4v 38 = (35 + 7v) + -4v Combine like terms: 7v + -4v = 3v 38 = 35 + 3v Solving 38 = 35 + 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 = 35 + 3v + -3v Combine like terms: 3v + -3v = 0 38 + -3v = 35 + 0 38 + -3v = 35 Add '-38' to each side of the equation. 38 + -38 + -3v = 35 + -38 Combine like terms: 38 + -38 = 0 0 + -3v = 35 + -38 -3v = 35 + -38 Combine like terms: 35 + -38 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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