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Simplifying 13 + 4v = v + 4(2v + -3) Reorder the terms: 13 + 4v = v + 4(-3 + 2v) 13 + 4v = v + (-3 * 4 + 2v * 4) 13 + 4v = v + (-12 + 8v) Reorder the terms: 13 + 4v = -12 + v + 8v Combine like terms: v + 8v = 9v 13 + 4v = -12 + 9v Solving 13 + 4v = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 13 + 4v + -9v = -12 + 9v + -9v Combine like terms: 4v + -9v = -5v 13 + -5v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 13 + -5v = -12 + 0 13 + -5v = -12 Add '-13' to each side of the equation. 13 + -13 + -5v = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5v = -12 + -13 -5v = -12 + -13 Combine like terms: -12 + -13 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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