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Simplifying 3v + -1(9v + 13) = -1v + 7 Reorder the terms: 3v + -1(13 + 9v) = -1v + 7 3v + (13 * -1 + 9v * -1) = -1v + 7 3v + (-13 + -9v) = -1v + 7 Reorder the terms: -13 + 3v + -9v = -1v + 7 Combine like terms: 3v + -9v = -6v -13 + -6v = -1v + 7 Reorder the terms: -13 + -6v = 7 + -1v Solving -13 + -6v = 7 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -13 + -6v + v = 7 + -1v + v Combine like terms: -6v + v = -5v -13 + -5v = 7 + -1v + v Combine like terms: -1v + v = 0 -13 + -5v = 7 + 0 -13 + -5v = 7 Add '13' to each side of the equation. -13 + 13 + -5v = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -5v = 7 + 13 -5v = 7 + 13 Combine like terms: 7 + 13 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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