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Simplifying 51 = 7(-1 + 3v) + 2 51 = (-1 * 7 + 3v * 7) + 2 51 = (-7 + 21v) + 2 Reorder the terms: 51 = -7 + 2 + 21v Combine like terms: -7 + 2 = -5 51 = -5 + 21v Solving 51 = -5 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 51 + -21v = -5 + 21v + -21v Combine like terms: 21v + -21v = 0 51 + -21v = -5 + 0 51 + -21v = -5 Add '-51' to each side of the equation. 51 + -51 + -21v = -5 + -51 Combine like terms: 51 + -51 = 0 0 + -21v = -5 + -51 -21v = -5 + -51 Combine like terms: -5 + -51 = -56 -21v = -56 Divide each side by '-21'. v = 2.666666667 Simplifying v = 2.666666667
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