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Simplifying -29 = 2(-4 + 7v) + 7v -29 = (-4 * 2 + 7v * 2) + 7v -29 = (-8 + 14v) + 7v Combine like terms: 14v + 7v = 21v -29 = -8 + 21v Solving -29 = -8 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -29 + -21v = -8 + 21v + -21v Combine like terms: 21v + -21v = 0 -29 + -21v = -8 + 0 -29 + -21v = -8 Add '29' to each side of the equation. -29 + 29 + -21v = -8 + 29 Combine like terms: -29 + 29 = 0 0 + -21v = -8 + 29 -21v = -8 + 29 Combine like terms: -8 + 29 = 21 -21v = 21 Divide each side by '-21'. v = -1 Simplifying v = -1
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