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Simplifying -2(4v + -7) + 5v = 6 + 2(6v + -5) Reorder the terms: -2(-7 + 4v) + 5v = 6 + 2(6v + -5) (-7 * -2 + 4v * -2) + 5v = 6 + 2(6v + -5) (14 + -8v) + 5v = 6 + 2(6v + -5) Combine like terms: -8v + 5v = -3v 14 + -3v = 6 + 2(6v + -5) Reorder the terms: 14 + -3v = 6 + 2(-5 + 6v) 14 + -3v = 6 + (-5 * 2 + 6v * 2) 14 + -3v = 6 + (-10 + 12v) Combine like terms: 6 + -10 = -4 14 + -3v = -4 + 12v Solving 14 + -3v = -4 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 14 + -3v + -12v = -4 + 12v + -12v Combine like terms: -3v + -12v = -15v 14 + -15v = -4 + 12v + -12v Combine like terms: 12v + -12v = 0 14 + -15v = -4 + 0 14 + -15v = -4 Add '-14' to each side of the equation. 14 + -14 + -15v = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -15v = -4 + -14 -15v = -4 + -14 Combine like terms: -4 + -14 = -18 -15v = -18 Divide each side by '-15'. v = 1.2 Simplifying v = 1.2
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