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Simplifying -7v + 9 = 5v + -1(6v + -3) Reorder the terms: 9 + -7v = 5v + -1(6v + -3) Reorder the terms: 9 + -7v = 5v + -1(-3 + 6v) 9 + -7v = 5v + (-3 * -1 + 6v * -1) 9 + -7v = 5v + (3 + -6v) Reorder the terms: 9 + -7v = 3 + 5v + -6v Combine like terms: 5v + -6v = -1v 9 + -7v = 3 + -1v Solving 9 + -7v = 3 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 9 + -7v + v = 3 + -1v + v Combine like terms: -7v + v = -6v 9 + -6v = 3 + -1v + v Combine like terms: -1v + v = 0 9 + -6v = 3 + 0 9 + -6v = 3 Add '-9' to each side of the equation. 9 + -9 + -6v = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -6v = 3 + -9 -6v = 3 + -9 Combine like terms: 3 + -9 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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