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Simplifying 38 = 8(v + -2) + -2v Reorder the terms: 38 = 8(-2 + v) + -2v 38 = (-2 * 8 + v * 8) + -2v 38 = (-16 + 8v) + -2v Combine like terms: 8v + -2v = 6v 38 = -16 + 6v Solving 38 = -16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 38 + -6v = -16 + 6v + -6v Combine like terms: 6v + -6v = 0 38 + -6v = -16 + 0 38 + -6v = -16 Add '-38' to each side of the equation. 38 + -38 + -6v = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -6v = -16 + -38 -6v = -16 + -38 Combine like terms: -16 + -38 = -54 -6v = -54 Divide each side by '-6'. v = 9 Simplifying v = 9
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