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Simplifying 2(v + 3) = -7v + -48 Reorder the terms: 2(3 + v) = -7v + -48 (3 * 2 + v * 2) = -7v + -48 (6 + 2v) = -7v + -48 Reorder the terms: 6 + 2v = -48 + -7v Solving 6 + 2v = -48 + -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 = -48 + -7v + 7v Combine like terms: 2v + 7v = 9v 6 + 9v = -48 + -7v + 7v Combine like terms: -7v + 7v = 0 6 + 9v = -48 + 0 6 + 9v = -48 Add '-6' to each side of the equation. 6 + -6 + 9v = -48 + -6 Combine like terms: 6 + -6 = 0 0 + 9v = -48 + -6 9v = -48 + -6 Combine like terms: -48 + -6 = -54 9v = -54 Divide each side by '9'. v = -6 Simplifying v = -6
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