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Simplifying -65 = -3v + -1(-7 + 6v) -65 = -3v + (-7 * -1 + 6v * -1) -65 = -3v + (7 + -6v) Reorder the terms: -65 = 7 + -3v + -6v Combine like terms: -3v + -6v = -9v -65 = 7 + -9v Solving -65 = 7 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -65 + 9v = 7 + -9v + 9v Combine like terms: -9v + 9v = 0 -65 + 9v = 7 + 0 -65 + 9v = 7 Add '65' to each side of the equation. -65 + 65 + 9v = 7 + 65 Combine like terms: -65 + 65 = 0 0 + 9v = 7 + 65 9v = 7 + 65 Combine like terms: 7 + 65 = 72 9v = 72 Divide each side by '9'. v = 8 Simplifying v = 8
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