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Simplifying 2(v + -3) = -7v + 3 Reorder the terms: 2(-3 + v) = -7v + 3 (-3 * 2 + v * 2) = -7v + 3 (-6 + 2v) = -7v + 3 Reorder the terms: -6 + 2v = 3 + -7v Solving -6 + 2v = 3 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -6 + 2v + 7v = 3 + -7v + 7v Combine like terms: 2v + 7v = 9v -6 + 9v = 3 + -7v + 7v Combine like terms: -7v + 7v = 0 -6 + 9v = 3 + 0 -6 + 9v = 3 Add '6' to each side of the equation. -6 + 6 + 9v = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9v = 3 + 6 9v = 3 + 6 Combine like terms: 3 + 6 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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