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Simplifying -10(v + 6) + -2v = -2(v + 10) Reorder the terms: -10(6 + v) + -2v = -2(v + 10) (6 * -10 + v * -10) + -2v = -2(v + 10) (-60 + -10v) + -2v = -2(v + 10) Combine like terms: -10v + -2v = -12v -60 + -12v = -2(v + 10) Reorder the terms: -60 + -12v = -2(10 + v) -60 + -12v = (10 * -2 + v * -2) -60 + -12v = (-20 + -2v) Solving -60 + -12v = -20 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -60 + -12v + 2v = -20 + -2v + 2v Combine like terms: -12v + 2v = -10v -60 + -10v = -20 + -2v + 2v Combine like terms: -2v + 2v = 0 -60 + -10v = -20 + 0 -60 + -10v = -20 Add '60' to each side of the equation. -60 + 60 + -10v = -20 + 60 Combine like terms: -60 + 60 = 0 0 + -10v = -20 + 60 -10v = -20 + 60 Combine like terms: -20 + 60 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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