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Simplifying 5(v + -2) + -2(v + 4) = 6 Reorder the terms: 5(-2 + v) + -2(v + 4) = 6 (-2 * 5 + v * 5) + -2(v + 4) = 6 (-10 + 5v) + -2(v + 4) = 6 Reorder the terms: -10 + 5v + -2(4 + v) = 6 -10 + 5v + (4 * -2 + v * -2) = 6 -10 + 5v + (-8 + -2v) = 6 Reorder the terms: -10 + -8 + 5v + -2v = 6 Combine like terms: -10 + -8 = -18 -18 + 5v + -2v = 6 Combine like terms: 5v + -2v = 3v -18 + 3v = 6 Solving -18 + 3v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3v = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3v = 6 + 18 3v = 6 + 18 Combine like terms: 6 + 18 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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