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Simplifying 3(v + -3) + -7v = -5 Reorder the terms: 3(-3 + v) + -7v = -5 (-3 * 3 + v * 3) + -7v = -5 (-9 + 3v) + -7v = -5 Combine like terms: 3v + -7v = -4v -9 + -4v = -5 Solving -9 + -4v = -5 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 = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -4v = -5 + 9 -4v = -5 + 9 Combine like terms: -5 + 9 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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