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Simplifying 8v + -6(v + 2) = 13 + 7v Reorder the terms: 8v + -6(2 + v) = 13 + 7v 8v + (2 * -6 + v * -6) = 13 + 7v 8v + (-12 + -6v) = 13 + 7v Reorder the terms: -12 + 8v + -6v = 13 + 7v Combine like terms: 8v + -6v = 2v -12 + 2v = 13 + 7v Solving -12 + 2v = 13 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -12 + 2v + -7v = 13 + 7v + -7v Combine like terms: 2v + -7v = -5v -12 + -5v = 13 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + -5v = 13 + 0 -12 + -5v = 13 Add '12' to each side of the equation. -12 + 12 + -5v = 13 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 13 + 12 -5v = 13 + 12 Combine like terms: 13 + 12 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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