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Simplifying 10 + -7v + 4 = -10 + -10v Reorder the terms: 10 + 4 + -7v = -10 + -10v Combine like terms: 10 + 4 = 14 14 + -7v = -10 + -10v Solving 14 + -7v = -10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 14 + -7v + 10v = -10 + -10v + 10v Combine like terms: -7v + 10v = 3v 14 + 3v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 14 + 3v = -10 + 0 14 + 3v = -10 Add '-14' to each side of the equation. 14 + -14 + 3v = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 3v = -10 + -14 3v = -10 + -14 Combine like terms: -10 + -14 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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