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Simplifying -3(-7v + 3) + -7v = 2(v + -8) + -2 Reorder the terms: -3(3 + -7v) + -7v = 2(v + -8) + -2 (3 * -3 + -7v * -3) + -7v = 2(v + -8) + -2 (-9 + 21v) + -7v = 2(v + -8) + -2 Combine like terms: 21v + -7v = 14v -9 + 14v = 2(v + -8) + -2 Reorder the terms: -9 + 14v = 2(-8 + v) + -2 -9 + 14v = (-8 * 2 + v * 2) + -2 -9 + 14v = (-16 + 2v) + -2 Reorder the terms: -9 + 14v = -16 + -2 + 2v Combine like terms: -16 + -2 = -18 -9 + 14v = -18 + 2v Solving -9 + 14v = -18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -9 + 14v + -2v = -18 + 2v + -2v Combine like terms: 14v + -2v = 12v -9 + 12v = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 12v = -18 + 0 -9 + 12v = -18 Add '9' to each side of the equation. -9 + 9 + 12v = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 12v = -18 + 9 12v = -18 + 9 Combine like terms: -18 + 9 = -9 12v = -9 Divide each side by '12'. v = -0.75 Simplifying v = -0.75
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