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Simplifying -100 = -4(1 + 3v) -100 = (1 * -4 + 3v * -4) -100 = (-4 + -12v) Solving -100 = -4 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -100 + 12v = -4 + -12v + 12v Combine like terms: -12v + 12v = 0 -100 + 12v = -4 + 0 -100 + 12v = -4 Add '100' to each side of the equation. -100 + 100 + 12v = -4 + 100 Combine like terms: -100 + 100 = 0 0 + 12v = -4 + 100 12v = -4 + 100 Combine like terms: -4 + 100 = 96 12v = 96 Divide each side by '12'. v = 8 Simplifying v = 8
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