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Simplifying -9v + -36 = -6(v + 5) Reorder the terms: -36 + -9v = -6(v + 5) Reorder the terms: -36 + -9v = -6(5 + v) -36 + -9v = (5 * -6 + v * -6) -36 + -9v = (-30 + -6v) Solving -36 + -9v = -30 + -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. -36 + -9v + 6v = -30 + -6v + 6v Combine like terms: -9v + 6v = -3v -36 + -3v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 -36 + -3v = -30 + 0 -36 + -3v = -30 Add '36' to each side of the equation. -36 + 36 + -3v = -30 + 36 Combine like terms: -36 + 36 = 0 0 + -3v = -30 + 36 -3v = -30 + 36 Combine like terms: -30 + 36 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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