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Simplifying 10v + -7v + 6 + -3 = 15v + 6v + -15 Reorder the terms: 6 + -3 + 10v + -7v = 15v + 6v + -15 Combine like terms: 6 + -3 = 3 3 + 10v + -7v = 15v + 6v + -15 Combine like terms: 10v + -7v = 3v 3 + 3v = 15v + 6v + -15 Reorder the terms: 3 + 3v = -15 + 15v + 6v Combine like terms: 15v + 6v = 21v 3 + 3v = -15 + 21v Solving 3 + 3v = -15 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 3 + 3v + -21v = -15 + 21v + -21v Combine like terms: 3v + -21v = -18v 3 + -18v = -15 + 21v + -21v Combine like terms: 21v + -21v = 0 3 + -18v = -15 + 0 3 + -18v = -15 Add '-3' to each side of the equation. 3 + -3 + -18v = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -18v = -15 + -3 -18v = -15 + -3 Combine like terms: -15 + -3 = -18 -18v = -18 Divide each side by '-18'. v = 1 Simplifying v = 1
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