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Simplifying 3 = 10v + -1(-4v + 1) Reorder the terms: 3 = 10v + -1(1 + -4v) 3 = 10v + (1 * -1 + -4v * -1) 3 = 10v + (-1 + 4v) Reorder the terms: 3 = -1 + 10v + 4v Combine like terms: 10v + 4v = 14v 3 = -1 + 14v Solving 3 = -1 + 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. 3 + -14v = -1 + 14v + -14v Combine like terms: 14v + -14v = 0 3 + -14v = -1 + 0 3 + -14v = -1 Add '-3' to each side of the equation. 3 + -3 + -14v = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -14v = -1 + -3 -14v = -1 + -3 Combine like terms: -1 + -3 = -4 -14v = -4 Divide each side by '-14'. v = 0.2857142857 Simplifying v = 0.2857142857
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