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Simplifying -6(1v + -1v) + 12(-3 + -1) = -12v + -9v Combine like terms: 1v + -1v = 0 -6(0) + 12(-3 + -1) = -12v + -9v Multiply -6 * 0 0 + 12(-3 + -1) = -12v + -9v Anything times zero is zero. 0 + 12(-3 + -1) = -12v + -9v Combine like terms: -3 + -1 = -4 0 + 12(-4) = -12v + -9v Multiply 12 * -4 0 + -48 = -12v + -9v Combine like terms: 0 + -48 = -48 -48 = -12v + -9v Combine like terms: -12v + -9v = -21v -48 = -21v Solving -48 = -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -48 + 21v = -21v + 21v Combine like terms: -21v + 21v = 0 -48 + 21v = 0 Add '48' to each side of the equation. -48 + 48 + 21v = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 21v = 0 + 48 21v = 0 + 48 Combine like terms: 0 + 48 = 48 21v = 48 Divide each side by '21'. v = 2.285714286 Simplifying v = 2.285714286
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