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Simplifying -1v + -32 = 7(-2v + 2) + -7 Reorder the terms: -32 + -1v = 7(-2v + 2) + -7 Reorder the terms: -32 + -1v = 7(2 + -2v) + -7 -32 + -1v = (2 * 7 + -2v * 7) + -7 -32 + -1v = (14 + -14v) + -7 Reorder the terms: -32 + -1v = 14 + -7 + -14v Combine like terms: 14 + -7 = 7 -32 + -1v = 7 + -14v Solving -32 + -1v = 7 + -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 + -1v + 14v = 7 + -14v + 14v Combine like terms: -1v + 14v = 13v -32 + 13v = 7 + -14v + 14v Combine like terms: -14v + 14v = 0 -32 + 13v = 7 + 0 -32 + 13v = 7 Add '32' to each side of the equation. -32 + 32 + 13v = 7 + 32 Combine like terms: -32 + 32 = 0 0 + 13v = 7 + 32 13v = 7 + 32 Combine like terms: 7 + 32 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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