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Simplifying 8 + -2(v + -3) = 5v Reorder the terms: 8 + -2(-3 + v) = 5v 8 + (-3 * -2 + v * -2) = 5v 8 + (6 + -2v) = 5v Combine like terms: 8 + 6 = 14 14 + -2v = 5v Solving 14 + -2v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 14 + -2v + -5v = 5v + -5v Combine like terms: -2v + -5v = -7v 14 + -7v = 5v + -5v Combine like terms: 5v + -5v = 0 14 + -7v = 0 Add '-14' to each side of the equation. 14 + -14 + -7v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7v = 0 + -14 -7v = 0 + -14 Combine like terms: 0 + -14 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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