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Simplifying 4(v + -5) + -7v = -8 Reorder the terms: 4(-5 + v) + -7v = -8 (-5 * 4 + v * 4) + -7v = -8 (-20 + 4v) + -7v = -8 Combine like terms: 4v + -7v = -3v -20 + -3v = -8 Solving -20 + -3v = -8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3v = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -3v = -8 + 20 -3v = -8 + 20 Combine like terms: -8 + 20 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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