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Simplifying 6(3 + -2v) + -5(2 + -2v) = 0 (3 * 6 + -2v * 6) + -5(2 + -2v) = 0 (18 + -12v) + -5(2 + -2v) = 0 18 + -12v + (2 * -5 + -2v * -5) = 0 18 + -12v + (-10 + 10v) = 0 Reorder the terms: 18 + -10 + -12v + 10v = 0 Combine like terms: 18 + -10 = 8 8 + -12v + 10v = 0 Combine like terms: -12v + 10v = -2v 8 + -2v = 0 Solving 8 + -2v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 0 + -8 -2v = 0 + -8 Combine like terms: 0 + -8 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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