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Simplifying 5v + 32 = -2(v + -2) Reorder the terms: 32 + 5v = -2(v + -2) Reorder the terms: 32 + 5v = -2(-2 + v) 32 + 5v = (-2 * -2 + v * -2) 32 + 5v = (4 + -2v) Solving 32 + 5v = 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 + 5v + 2v = 4 + -2v + 2v Combine like terms: 5v + 2v = 7v 32 + 7v = 4 + -2v + 2v Combine like terms: -2v + 2v = 0 32 + 7v = 4 + 0 32 + 7v = 4 Add '-32' to each side of the equation. 32 + -32 + 7v = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 7v = 4 + -32 7v = 4 + -32 Combine like terms: 4 + -32 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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