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Simplifying 3(v + -3) = -4v + 5 Reorder the terms: 3(-3 + v) = -4v + 5 (-3 * 3 + v * 3) = -4v + 5 (-9 + 3v) = -4v + 5 Reorder the terms: -9 + 3v = 5 + -4v Solving -9 + 3v = 5 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -9 + 3v + 4v = 5 + -4v + 4v Combine like terms: 3v + 4v = 7v -9 + 7v = 5 + -4v + 4v Combine like terms: -4v + 4v = 0 -9 + 7v = 5 + 0 -9 + 7v = 5 Add '9' to each side of the equation. -9 + 9 + 7v = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7v = 5 + 9 7v = 5 + 9 Combine like terms: 5 + 9 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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