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Simplifying -3(2v + -5) = -14 + v Reorder the terms: -3(-5 + 2v) = -14 + v (-5 * -3 + 2v * -3) = -14 + v (15 + -6v) = -14 + v Solving 15 + -6v = -14 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 15 + -6v + -1v = -14 + v + -1v Combine like terms: -6v + -1v = -7v 15 + -7v = -14 + v + -1v Combine like terms: v + -1v = 0 15 + -7v = -14 + 0 15 + -7v = -14 Add '-15' to each side of the equation. 15 + -15 + -7v = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -7v = -14 + -15 -7v = -14 + -15 Combine like terms: -14 + -15 = -29 -7v = -29 Divide each side by '-7'. v = 4.142857143 Simplifying v = 4.142857143
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