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Simplifying 3v + 9 = 6(v + -2) Reorder the terms: 9 + 3v = 6(v + -2) Reorder the terms: 9 + 3v = 6(-2 + v) 9 + 3v = (-2 * 6 + v * 6) 9 + 3v = (-12 + 6v) Solving 9 + 3v = -12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 9 + 3v + -6v = -12 + 6v + -6v Combine like terms: 3v + -6v = -3v 9 + -3v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 9 + -3v = -12 + 0 9 + -3v = -12 Add '-9' to each side of the equation. 9 + -9 + -3v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = -12 + -9 -3v = -12 + -9 Combine like terms: -12 + -9 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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