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Simplifying -38 = -5v + 3(v + -6) Reorder the terms: -38 = -5v + 3(-6 + v) -38 = -5v + (-6 * 3 + v * 3) -38 = -5v + (-18 + 3v) Reorder the terms: -38 = -18 + -5v + 3v Combine like terms: -5v + 3v = -2v -38 = -18 + -2v Solving -38 = -18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -38 + 2v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 -38 + 2v = -18 + 0 -38 + 2v = -18 Add '38' to each side of the equation. -38 + 38 + 2v = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 2v = -18 + 38 2v = -18 + 38 Combine like terms: -18 + 38 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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