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Simplifying 2(v + -8) + -7v = 14 Reorder the terms: 2(-8 + v) + -7v = 14 (-8 * 2 + v * 2) + -7v = 14 (-16 + 2v) + -7v = 14 Combine like terms: 2v + -7v = -5v -16 + -5v = 14 Solving -16 + -5v = 14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5v = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5v = 14 + 16 -5v = 14 + 16 Combine like terms: 14 + 16 = 30 -5v = 30 Divide each side by '-5'. v = -6 Simplifying v = -6
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