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Simplifying 6 = 3(v + -7) + -6v Reorder the terms: 6 = 3(-7 + v) + -6v 6 = (-7 * 3 + v * 3) + -6v 6 = (-21 + 3v) + -6v Combine like terms: 3v + -6v = -3v 6 = -21 + -3v Solving 6 = -21 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + 3v = -21 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + 3v = -21 + 0 6 + 3v = -21 Add '-6' to each side of the equation. 6 + -6 + 3v = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 3v = -21 + -6 3v = -21 + -6 Combine like terms: -21 + -6 = -27 3v = -27 Divide each side by '3'. v = -9 Simplifying v = -9
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