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Simplifying -116 = -4(1 + 4v) -116 = (1 * -4 + 4v * -4) -116 = (-4 + -16v) Solving -116 = -4 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -116 + 16v = -4 + -16v + 16v Combine like terms: -16v + 16v = 0 -116 + 16v = -4 + 0 -116 + 16v = -4 Add '116' to each side of the equation. -116 + 116 + 16v = -4 + 116 Combine like terms: -116 + 116 = 0 0 + 16v = -4 + 116 16v = -4 + 116 Combine like terms: -4 + 116 = 112 16v = 112 Divide each side by '16'. v = 7 Simplifying v = 7
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