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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 = -18 -18 + 2v = -2(-1 + 4v) -18 + 2v = (-1 * -2 + 4v * -2) -18 + 2v = (2 + -8v) Solving -18 + 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. -18 + 2v + 8v = 2 + -8v + 8v Combine like terms: 2v + 8v = 10v -18 + 10v = 2 + -8v + 8v Combine like terms: -8v + 8v = 0 -18 + 10v = 2 + 0 -18 + 10v = 2 Add '18' to each side of the equation. -18 + 18 + 10v = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 10v = 2 + 18 10v = 2 + 18 Combine like terms: 2 + 18 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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