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Simplifying 61 = 7(-1 + 2v) + 2 61 = (-1 * 7 + 2v * 7) + 2 61 = (-7 + 14v) + 2 Reorder the terms: 61 = -7 + 2 + 14v Combine like terms: -7 + 2 = -5 61 = -5 + 14v Solving 61 = -5 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 61 + -14v = -5 + 14v + -14v Combine like terms: 14v + -14v = 0 61 + -14v = -5 + 0 61 + -14v = -5 Add '-61' to each side of the equation. 61 + -61 + -14v = -5 + -61 Combine like terms: 61 + -61 = 0 0 + -14v = -5 + -61 -14v = -5 + -61 Combine like terms: -5 + -61 = -66 -14v = -66 Divide each side by '-14'. v = 4.714285714 Simplifying v = 4.714285714
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