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Simplifying 7 + -10v = -9v + -9 + -5v Reorder the terms: 7 + -10v = -9 + -9v + -5v Combine like terms: -9v + -5v = -14v 7 + -10v = -9 + -14v Solving 7 + -10v = -9 + -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. 7 + -10v + 14v = -9 + -14v + 14v Combine like terms: -10v + 14v = 4v 7 + 4v = -9 + -14v + 14v Combine like terms: -14v + 14v = 0 7 + 4v = -9 + 0 7 + 4v = -9 Add '-7' to each side of the equation. 7 + -7 + 4v = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4v = -9 + -7 4v = -9 + -7 Combine like terms: -9 + -7 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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