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Simplifying 7v + -9 = -6(v + -5) Reorder the terms: -9 + 7v = -6(v + -5) Reorder the terms: -9 + 7v = -6(-5 + v) -9 + 7v = (-5 * -6 + v * -6) -9 + 7v = (30 + -6v) Solving -9 + 7v = 30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -9 + 7v + 6v = 30 + -6v + 6v Combine like terms: 7v + 6v = 13v -9 + 13v = 30 + -6v + 6v Combine like terms: -6v + 6v = 0 -9 + 13v = 30 + 0 -9 + 13v = 30 Add '9' to each side of the equation. -9 + 9 + 13v = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 13v = 30 + 9 13v = 30 + 9 Combine like terms: 30 + 9 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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