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Simplifying -6(2v + -5) + 2v = 2(v + 7) Reorder the terms: -6(-5 + 2v) + 2v = 2(v + 7) (-5 * -6 + 2v * -6) + 2v = 2(v + 7) (30 + -12v) + 2v = 2(v + 7) Combine like terms: -12v + 2v = -10v 30 + -10v = 2(v + 7) Reorder the terms: 30 + -10v = 2(7 + v) 30 + -10v = (7 * 2 + v * 2) 30 + -10v = (14 + 2v) Solving 30 + -10v = 14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 30 + -10v + -2v = 14 + 2v + -2v Combine like terms: -10v + -2v = -12v 30 + -12v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 30 + -12v = 14 + 0 30 + -12v = 14 Add '-30' to each side of the equation. 30 + -30 + -12v = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -12v = 14 + -30 -12v = 14 + -30 Combine like terms: 14 + -30 = -16 -12v = -16 Divide each side by '-12'. v = 1.333333333 Simplifying v = 1.333333333
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