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Simplifying 4v + -13 + -10v = 12 + -10v + 5 Reorder the terms: -13 + 4v + -10v = 12 + -10v + 5 Combine like terms: 4v + -10v = -6v -13 + -6v = 12 + -10v + 5 Reorder the terms: -13 + -6v = 12 + 5 + -10v Combine like terms: 12 + 5 = 17 -13 + -6v = 17 + -10v Solving -13 + -6v = 17 + -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. -13 + -6v + 10v = 17 + -10v + 10v Combine like terms: -6v + 10v = 4v -13 + 4v = 17 + -10v + 10v Combine like terms: -10v + 10v = 0 -13 + 4v = 17 + 0 -13 + 4v = 17 Add '13' to each side of the equation. -13 + 13 + 4v = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 4v = 17 + 13 4v = 17 + 13 Combine like terms: 17 + 13 = 30 4v = 30 Divide each side by '4'. v = 7.5 Simplifying v = 7.5
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