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Simplifying 32 = v + 10 + 7 Reorder the terms: 32 = 10 + 7 + v Combine like terms: 10 + 7 = 17 32 = 17 + v Solving 32 = 17 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 32 + -1v = 17 + v + -1v Combine like terms: v + -1v = 0 32 + -1v = 17 + 0 32 + -1v = 17 Add '-32' to each side of the equation. 32 + -32 + -1v = 17 + -32 Combine like terms: 32 + -32 = 0 0 + -1v = 17 + -32 -1v = 17 + -32 Combine like terms: 17 + -32 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15
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