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Simplifying 3 + -4v + 5 = 3v + 1 Reorder the terms: 3 + 5 + -4v = 3v + 1 Combine like terms: 3 + 5 = 8 8 + -4v = 3v + 1 Reorder the terms: 8 + -4v = 1 + 3v Solving 8 + -4v = 1 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 8 + -4v + -3v = 1 + 3v + -3v Combine like terms: -4v + -3v = -7v 8 + -7v = 1 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + -7v = 1 + 0 8 + -7v = 1 Add '-8' to each side of the equation. 8 + -8 + -7v = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = 1 + -8 -7v = 1 + -8 Combine like terms: 1 + -8 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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