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Simplifying -32 + 8v = 6(v + -7) Reorder the terms: -32 + 8v = 6(-7 + v) -32 + 8v = (-7 * 6 + v * 6) -32 + 8v = (-42 + 6v) Solving -32 + 8v = -42 + 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. -32 + 8v + -6v = -42 + 6v + -6v Combine like terms: 8v + -6v = 2v -32 + 2v = -42 + 6v + -6v Combine like terms: 6v + -6v = 0 -32 + 2v = -42 + 0 -32 + 2v = -42 Add '32' to each side of the equation. -32 + 32 + 2v = -42 + 32 Combine like terms: -32 + 32 = 0 0 + 2v = -42 + 32 2v = -42 + 32 Combine like terms: -42 + 32 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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