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Simplifying (4v + -9v + -6) + (9v + 5v + 4) + -1(-7v + 7v + 5) = 0 Reorder the terms: (-6 + 4v + -9v) + (9v + 5v + 4) + -1(-7v + 7v + 5) = 0 Combine like terms: 4v + -9v = -5v (-6 + -5v) + (9v + 5v + 4) + -1(-7v + 7v + 5) = 0 Remove parenthesis around (-6 + -5v) -6 + -5v + (9v + 5v + 4) + -1(-7v + 7v + 5) = 0 Reorder the terms: -6 + -5v + (4 + 9v + 5v) + -1(-7v + 7v + 5) = 0 Combine like terms: 9v + 5v = 14v -6 + -5v + (4 + 14v) + -1(-7v + 7v + 5) = 0 Remove parenthesis around (4 + 14v) -6 + -5v + 4 + 14v + -1(-7v + 7v + 5) = 0 Reorder the terms: -6 + -5v + 4 + 14v + -1(5 + -7v + 7v) = 0 Combine like terms: -7v + 7v = 0 -6 + -5v + 4 + 14v + -1(5 + 0) = 0 -6 + -5v + 4 + 14v + -1(5) = 0 Multiply -1 * 5 -6 + -5v + 4 + 14v + -5 = 0 Reorder the terms: -6 + 4 + -5 + -5v + 14v = 0 Combine like terms: -6 + 4 = -2 -2 + -5 + -5v + 14v = 0 Combine like terms: -2 + -5 = -7 -7 + -5v + 14v = 0 Combine like terms: -5v + 14v = 9v -7 + 9v = 0 Solving -7 + 9v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9v = 0 + 7 9v = 0 + 7 Combine like terms: 0 + 7 = 7 9v = 7 Divide each side by '9'. v = 0.7777777778 Simplifying v = 0.7777777778
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