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Simplifying -3v + 4(1 + -3v) = -86 -3v + (1 * 4 + -3v * 4) = -86 -3v + (4 + -12v) = -86 Reorder the terms: 4 + -3v + -12v = -86 Combine like terms: -3v + -12v = -15v 4 + -15v = -86 Solving 4 + -15v = -86 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -15v = -86 + -4 Combine like terms: 4 + -4 = 0 0 + -15v = -86 + -4 -15v = -86 + -4 Combine like terms: -86 + -4 = -90 -15v = -90 Divide each side by '-15'. v = 6 Simplifying v = 6
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