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Simplifying -2(v + -4) + -10 = 2(-1 + 4v) Reorder the terms: -2(-4 + v) + -10 = 2(-1 + 4v) (-4 * -2 + v * -2) + -10 = 2(-1 + 4v) (8 + -2v) + -10 = 2(-1 + 4v) Reorder the terms: 8 + -10 + -2v = 2(-1 + 4v) Combine like terms: 8 + -10 = -2 -2 + -2v = 2(-1 + 4v) -2 + -2v = (-1 * 2 + 4v * 2) -2 + -2v = (-2 + 8v) Add '2' to each side of the equation. -2 + 2 + -2v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 0 + -2v = -2 + 2 + 8v -2v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 -2v = 0 + 8v -2v = 8v Solving -2v = 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. -2v + -8v = 8v + -8v Combine like terms: -2v + -8v = -10v -10v = 8v + -8v Combine like terms: 8v + -8v = 0 -10v = 0 Divide each side by '-10'. v = 0.0 Simplifying v = 0.0
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