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Simplifying 2(v + -4) + -10 = -2(-1 + -2v) Reorder the terms: 2(-4 + v) + -10 = -2(-1 + -2v) (-4 * 2 + v * 2) + -10 = -2(-1 + -2v) (-8 + 2v) + -10 = -2(-1 + -2v) Reorder the terms: -8 + -10 + 2v = -2(-1 + -2v) Combine like terms: -8 + -10 = -18 -18 + 2v = -2(-1 + -2v) -18 + 2v = (-1 * -2 + -2v * -2) -18 + 2v = (2 + 4v) Solving -18 + 2v = 2 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -18 + 2v + -4v = 2 + 4v + -4v Combine like terms: 2v + -4v = -2v -18 + -2v = 2 + 4v + -4v Combine like terms: 4v + -4v = 0 -18 + -2v = 2 + 0 -18 + -2v = 2 Add '18' to each side of the equation. -18 + 18 + -2v = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2v = 2 + 18 -2v = 2 + 18 Combine like terms: 2 + 18 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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