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Simplifying -9 = 4(-3v + 2) + -1(1 + 4v) Reorder the terms: -9 = 4(2 + -3v) + -1(1 + 4v) -9 = (2 * 4 + -3v * 4) + -1(1 + 4v) -9 = (8 + -12v) + -1(1 + 4v) -9 = 8 + -12v + (1 * -1 + 4v * -1) -9 = 8 + -12v + (-1 + -4v) Reorder the terms: -9 = 8 + -1 + -12v + -4v Combine like terms: 8 + -1 = 7 -9 = 7 + -12v + -4v Combine like terms: -12v + -4v = -16v -9 = 7 + -16v Solving -9 = 7 + -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. -9 + 16v = 7 + -16v + 16v Combine like terms: -16v + 16v = 0 -9 + 16v = 7 + 0 -9 + 16v = 7 Add '9' to each side of the equation. -9 + 9 + 16v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 16v = 7 + 9 16v = 7 + 9 Combine like terms: 7 + 9 = 16 16v = 16 Divide each side by '16'. v = 1 Simplifying v = 1
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