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Simplifying 2(-8 + 7v) + -5 = 21 + -7v (-8 * 2 + 7v * 2) + -5 = 21 + -7v (-16 + 14v) + -5 = 21 + -7v Reorder the terms: -16 + -5 + 14v = 21 + -7v Combine like terms: -16 + -5 = -21 -21 + 14v = 21 + -7v Solving -21 + 14v = 21 + -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. -21 + 14v + 7v = 21 + -7v + 7v Combine like terms: 14v + 7v = 21v -21 + 21v = 21 + -7v + 7v Combine like terms: -7v + 7v = 0 -21 + 21v = 21 + 0 -21 + 21v = 21 Add '21' to each side of the equation. -21 + 21 + 21v = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 21v = 21 + 21 21v = 21 + 21 Combine like terms: 21 + 21 = 42 21v = 42 Divide each side by '21'. v = 2 Simplifying v = 2
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