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Simplifying 2(v + -8) + -10 = -2(-1 + 4v) Reorder the terms: 2(-8 + v) + -10 = -2(-1 + 4v) (-8 * 2 + v * 2) + -10 = -2(-1 + 4v) (-16 + 2v) + -10 = -2(-1 + 4v) Reorder the terms: -16 + -10 + 2v = -2(-1 + 4v) Combine like terms: -16 + -10 = -26 -26 + 2v = -2(-1 + 4v) -26 + 2v = (-1 * -2 + 4v * -2) -26 + 2v = (2 + -8v) Solving -26 + 2v = 2 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -26 + 2v + 8v = 2 + -8v + 8v Combine like terms: 2v + 8v = 10v -26 + 10v = 2 + -8v + 8v Combine like terms: -8v + 8v = 0 -26 + 10v = 2 + 0 -26 + 10v = 2 Add '26' to each side of the equation. -26 + 26 + 10v = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 10v = 2 + 26 10v = 2 + 26 Combine like terms: 2 + 26 = 28 10v = 28 Divide each side by '10'. v = 2.8 Simplifying v = 2.8
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