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Simplifying -2(5 + 5v) = -8(v + 4) + 2 (5 * -2 + 5v * -2) = -8(v + 4) + 2 (-10 + -10v) = -8(v + 4) + 2 Reorder the terms: -10 + -10v = -8(4 + v) + 2 -10 + -10v = (4 * -8 + v * -8) + 2 -10 + -10v = (-32 + -8v) + 2 Reorder the terms: -10 + -10v = -32 + 2 + -8v Combine like terms: -32 + 2 = -30 -10 + -10v = -30 + -8v Solving -10 + -10v = -30 + -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. -10 + -10v + 8v = -30 + -8v + 8v Combine like terms: -10v + 8v = -2v -10 + -2v = -30 + -8v + 8v Combine like terms: -8v + 8v = 0 -10 + -2v = -30 + 0 -10 + -2v = -30 Add '10' to each side of the equation. -10 + 10 + -2v = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -2v = -30 + 10 -2v = -30 + 10 Combine like terms: -30 + 10 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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