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Simplifying 4(1 + -4v) + 5 = 105 (1 * 4 + -4v * 4) + 5 = 105 (4 + -16v) + 5 = 105 Reorder the terms: 4 + 5 + -16v = 105 Combine like terms: 4 + 5 = 9 9 + -16v = 105 Solving 9 + -16v = 105 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16v = 105 + -9 Combine like terms: 9 + -9 = 0 0 + -16v = 105 + -9 -16v = 105 + -9 Combine like terms: 105 + -9 = 96 -16v = 96 Divide each side by '-16'. v = -6 Simplifying v = -6
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