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Simplifying 10v + -13 = 7v + 5 Reorder the terms: -13 + 10v = 7v + 5 Reorder the terms: -13 + 10v = 5 + 7v Solving -13 + 10v = 5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -13 + 10v + -7v = 5 + 7v + -7v Combine like terms: 10v + -7v = 3v -13 + 3v = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 -13 + 3v = 5 + 0 -13 + 3v = 5 Add '13' to each side of the equation. -13 + 13 + 3v = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3v = 5 + 13 3v = 5 + 13 Combine like terms: 5 + 13 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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