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Simplifying 32 + 7v = -2(7v + 5) Reorder the terms: 32 + 7v = -2(5 + 7v) 32 + 7v = (5 * -2 + 7v * -2) 32 + 7v = (-10 + -14v) Solving 32 + 7v = -10 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 32 + 7v + 14v = -10 + -14v + 14v Combine like terms: 7v + 14v = 21v 32 + 21v = -10 + -14v + 14v Combine like terms: -14v + 14v = 0 32 + 21v = -10 + 0 32 + 21v = -10 Add '-32' to each side of the equation. 32 + -32 + 21v = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 21v = -10 + -32 21v = -10 + -32 Combine like terms: -10 + -32 = -42 21v = -42 Divide each side by '21'. v = -2 Simplifying v = -2
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