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Simplifying -8v + 32 = -2(v + -7) Reorder the terms: 32 + -8v = -2(v + -7) Reorder the terms: 32 + -8v = -2(-7 + v) 32 + -8v = (-7 * -2 + v * -2) 32 + -8v = (14 + -2v) Solving 32 + -8v = 14 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 32 + -8v + 2v = 14 + -2v + 2v Combine like terms: -8v + 2v = -6v 32 + -6v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + -6v = 14 + 0 32 + -6v = 14 Add '-32' to each side of the equation. 32 + -32 + -6v = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -6v = 14 + -32 -6v = 14 + -32 Combine like terms: 14 + -32 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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