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Simplifying 3(v + 6) = -3(6v + -7) + 6v Reorder the terms: 3(6 + v) = -3(6v + -7) + 6v (6 * 3 + v * 3) = -3(6v + -7) + 6v (18 + 3v) = -3(6v + -7) + 6v Reorder the terms: 18 + 3v = -3(-7 + 6v) + 6v 18 + 3v = (-7 * -3 + 6v * -3) + 6v 18 + 3v = (21 + -18v) + 6v Combine like terms: -18v + 6v = -12v 18 + 3v = 21 + -12v Solving 18 + 3v = 21 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 18 + 3v + 12v = 21 + -12v + 12v Combine like terms: 3v + 12v = 15v 18 + 15v = 21 + -12v + 12v Combine like terms: -12v + 12v = 0 18 + 15v = 21 + 0 18 + 15v = 21 Add '-18' to each side of the equation. 18 + -18 + 15v = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 15v = 21 + -18 15v = 21 + -18 Combine like terms: 21 + -18 = 3 15v = 3 Divide each side by '15'. v = 0.2 Simplifying v = 0.2
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