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