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