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Simplifying -38 + -2v = 7(1 + -1v) + -5 -38 + -2v = (1 * 7 + -1v * 7) + -5 -38 + -2v = (7 + -7v) + -5 Reorder the terms: -38 + -2v = 7 + -5 + -7v Combine like terms: 7 + -5 = 2 -38 + -2v = 2 + -7v Solving -38 + -2v = 2 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -38 + -2v + 7v = 2 + -7v + 7v Combine like terms: -2v + 7v = 5v -38 + 5v = 2 + -7v + 7v Combine like terms: -7v + 7v = 0 -38 + 5v = 2 + 0 -38 + 5v = 2 Add '38' to each side of the equation. -38 + 38 + 5v = 2 + 38 Combine like terms: -38 + 38 = 0 0 + 5v = 2 + 38 5v = 2 + 38 Combine like terms: 2 + 38 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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