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Simplifying 6v + -32 = 2(v + -8) Reorder the terms: -32 + 6v = 2(v + -8) Reorder the terms: -32 + 6v = 2(-8 + v) -32 + 6v = (-8 * 2 + v * 2) -32 + 6v = (-16 + 2v) Solving -32 + 6v = -16 + 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 + 6v + -2v = -16 + 2v + -2v Combine like terms: 6v + -2v = 4v -32 + 4v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 -32 + 4v = -16 + 0 -32 + 4v = -16 Add '32' to each side of the equation. -32 + 32 + 4v = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 4v = -16 + 32 4v = -16 + 32 Combine like terms: -16 + 32 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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