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Simplifying 2(v + -7) + -8 = -2(-8v + 5) + -4v Reorder the terms: 2(-7 + v) + -8 = -2(-8v + 5) + -4v (-7 * 2 + v * 2) + -8 = -2(-8v + 5) + -4v (-14 + 2v) + -8 = -2(-8v + 5) + -4v Reorder the terms: -14 + -8 + 2v = -2(-8v + 5) + -4v Combine like terms: -14 + -8 = -22 -22 + 2v = -2(-8v + 5) + -4v Reorder the terms: -22 + 2v = -2(5 + -8v) + -4v -22 + 2v = (5 * -2 + -8v * -2) + -4v -22 + 2v = (-10 + 16v) + -4v Combine like terms: 16v + -4v = 12v -22 + 2v = -10 + 12v Solving -22 + 2v = -10 + 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. -22 + 2v + -12v = -10 + 12v + -12v Combine like terms: 2v + -12v = -10v -22 + -10v = -10 + 12v + -12v Combine like terms: 12v + -12v = 0 -22 + -10v = -10 + 0 -22 + -10v = -10 Add '22' to each side of the equation. -22 + 22 + -10v = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -10v = -10 + 22 -10v = -10 + 22 Combine like terms: -10 + 22 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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