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Simplifying -2(-2v + 5) + -8v = 6(v + -3) + -4 Reorder the terms: -2(5 + -2v) + -8v = 6(v + -3) + -4 (5 * -2 + -2v * -2) + -8v = 6(v + -3) + -4 (-10 + 4v) + -8v = 6(v + -3) + -4 Combine like terms: 4v + -8v = -4v -10 + -4v = 6(v + -3) + -4 Reorder the terms: -10 + -4v = 6(-3 + v) + -4 -10 + -4v = (-3 * 6 + v * 6) + -4 -10 + -4v = (-18 + 6v) + -4 Reorder the terms: -10 + -4v = -18 + -4 + 6v Combine like terms: -18 + -4 = -22 -10 + -4v = -22 + 6v Solving -10 + -4v = -22 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -10 + -4v + -6v = -22 + 6v + -6v Combine like terms: -4v + -6v = -10v -10 + -10v = -22 + 6v + -6v Combine like terms: 6v + -6v = 0 -10 + -10v = -22 + 0 -10 + -10v = -22 Add '10' to each side of the equation. -10 + 10 + -10v = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -10v = -22 + 10 -10v = -22 + 10 Combine like terms: -22 + 10 = -12 -10v = -12 Divide each side by '-10'. v = 1.2 Simplifying v = 1.2
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