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Simplifying 7(v + -9) = 2v + -13 Reorder the terms: 7(-9 + v) = 2v + -13 (-9 * 7 + v * 7) = 2v + -13 (-63 + 7v) = 2v + -13 Reorder the terms: -63 + 7v = -13 + 2v Solving -63 + 7v = -13 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -63 + 7v + -2v = -13 + 2v + -2v Combine like terms: 7v + -2v = 5v -63 + 5v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -63 + 5v = -13 + 0 -63 + 5v = -13 Add '63' to each side of the equation. -63 + 63 + 5v = -13 + 63 Combine like terms: -63 + 63 = 0 0 + 5v = -13 + 63 5v = -13 + 63 Combine like terms: -13 + 63 = 50 5v = 50 Divide each side by '5'. v = 10 Simplifying v = 10
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