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Simplifying 3(v + 2) = -7v + -14 Reorder the terms: 3(2 + v) = -7v + -14 (2 * 3 + v * 3) = -7v + -14 (6 + 3v) = -7v + -14 Reorder the terms: 6 + 3v = -14 + -7v Solving 6 + 3v = -14 + -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 + 3v + 7v = -14 + -7v + 7v Combine like terms: 3v + 7v = 10v 6 + 10v = -14 + -7v + 7v Combine like terms: -7v + 7v = 0 6 + 10v = -14 + 0 6 + 10v = -14 Add '-6' to each side of the equation. 6 + -6 + 10v = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10v = -14 + -6 10v = -14 + -6 Combine like terms: -14 + -6 = -20 10v = -20 Divide each side by '10'. v = -2 Simplifying v = -2
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