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Simplifying 6v + 10 = -8 + 3 + v Reorder the terms: 10 + 6v = -8 + 3 + v Combine like terms: -8 + 3 = -5 10 + 6v = -5 + v Solving 10 + 6v = -5 + 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. 10 + 6v + -1v = -5 + v + -1v Combine like terms: 6v + -1v = 5v 10 + 5v = -5 + v + -1v Combine like terms: v + -1v = 0 10 + 5v = -5 + 0 10 + 5v = -5 Add '-10' to each side of the equation. 10 + -10 + 5v = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 5v = -5 + -10 5v = -5 + -10 Combine like terms: -5 + -10 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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