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Simplifying v + -7 = 5v + -15 Reorder the terms: -7 + v = 5v + -15 Reorder the terms: -7 + v = -15 + 5v Solving -7 + v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -7 + v + -5v = -15 + 5v + -5v Combine like terms: v + -5v = -4v -7 + -4v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 -7 + -4v = -15 + 0 -7 + -4v = -15 Add '7' to each side of the equation. -7 + 7 + -4v = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -4v = -15 + 7 -4v = -15 + 7 Combine like terms: -15 + 7 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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