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Simplifying 14 + -7v = -1(v + -8) Reorder the terms: 14 + -7v = -1(-8 + v) 14 + -7v = (-8 * -1 + v * -1) 14 + -7v = (8 + -1v) Solving 14 + -7v = 8 + -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. 14 + -7v + v = 8 + -1v + v Combine like terms: -7v + v = -6v 14 + -6v = 8 + -1v + v Combine like terms: -1v + v = 0 14 + -6v = 8 + 0 14 + -6v = 8 Add '-14' to each side of the equation. 14 + -14 + -6v = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 8 + -14 -6v = 8 + -14 Combine like terms: 8 + -14 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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