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Simplifying 9v + -30 = 6(v + -6) Reorder the terms: -30 + 9v = 6(v + -6) Reorder the terms: -30 + 9v = 6(-6 + v) -30 + 9v = (-6 * 6 + v * 6) -30 + 9v = (-36 + 6v) Solving -30 + 9v = -36 + 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. -30 + 9v + -6v = -36 + 6v + -6v Combine like terms: 9v + -6v = 3v -30 + 3v = -36 + 6v + -6v Combine like terms: 6v + -6v = 0 -30 + 3v = -36 + 0 -30 + 3v = -36 Add '30' to each side of the equation. -30 + 30 + 3v = -36 + 30 Combine like terms: -30 + 30 = 0 0 + 3v = -36 + 30 3v = -36 + 30 Combine like terms: -36 + 30 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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