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Simplifying 6(5 + -2v) = -4(3 + 1) (5 * 6 + -2v * 6) = -4(3 + 1) (30 + -12v) = -4(3 + 1) Combine like terms: 3 + 1 = 4 30 + -12v = -4(4) Multiply -4 * 4 30 + -12v = -16 Solving 30 + -12v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -12v = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -12v = -16 + -30 -12v = -16 + -30 Combine like terms: -16 + -30 = -46 -12v = -46 Divide each side by '-12'. v = 3.833333333 Simplifying v = 3.833333333
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