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Simplifying 8v + 32 = 2(v + -2) Reorder the terms: 32 + 8v = 2(v + -2) Reorder the terms: 32 + 8v = 2(-2 + v) 32 + 8v = (-2 * 2 + v * 2) 32 + 8v = (-4 + 2v) Solving 32 + 8v = -4 + 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 = -4 + 2v + -2v Combine like terms: 8v + -2v = 6v 32 + 6v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 32 + 6v = -4 + 0 32 + 6v = -4 Add '-32' to each side of the equation. 32 + -32 + 6v = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 6v = -4 + -32 6v = -4 + -32 Combine like terms: -4 + -32 = -36 6v = -36 Divide each side by '6'. v = -6 Simplifying v = -6
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