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Simplifying -7(v + 3) + 2v + 7 = 7v + 6 Reorder the terms: -7(3 + v) + 2v + 7 = 7v + 6 (3 * -7 + v * -7) + 2v + 7 = 7v + 6 (-21 + -7v) + 2v + 7 = 7v + 6 Reorder the terms: -21 + 7 + -7v + 2v = 7v + 6 Combine like terms: -21 + 7 = -14 -14 + -7v + 2v = 7v + 6 Combine like terms: -7v + 2v = -5v -14 + -5v = 7v + 6 Reorder the terms: -14 + -5v = 6 + 7v Solving -14 + -5v = 6 + 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. -14 + -5v + -7v = 6 + 7v + -7v Combine like terms: -5v + -7v = -12v -14 + -12v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -14 + -12v = 6 + 0 -14 + -12v = 6 Add '14' to each side of the equation. -14 + 14 + -12v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -12v = 6 + 14 -12v = 6 + 14 Combine like terms: 6 + 14 = 20 -12v = 20 Divide each side by '-12'. v = -1.666666667 Simplifying v = -1.666666667
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