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Simplifying -29 + -5v = 6(2 + -2v) + -6 -29 + -5v = (2 * 6 + -2v * 6) + -6 -29 + -5v = (12 + -12v) + -6 Reorder the terms: -29 + -5v = 12 + -6 + -12v Combine like terms: 12 + -6 = 6 -29 + -5v = 6 + -12v Solving -29 + -5v = 6 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -29 + -5v + 12v = 6 + -12v + 12v Combine like terms: -5v + 12v = 7v -29 + 7v = 6 + -12v + 12v Combine like terms: -12v + 12v = 0 -29 + 7v = 6 + 0 -29 + 7v = 6 Add '29' to each side of the equation. -29 + 29 + 7v = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 7v = 6 + 29 7v = 6 + 29 Combine like terms: 6 + 29 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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