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Simplifying 5v + -61 = 7v + -91 Reorder the terms: -61 + 5v = 7v + -91 Reorder the terms: -61 + 5v = -91 + 7v Solving -61 + 5v = -91 + 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. -61 + 5v + -7v = -91 + 7v + -7v Combine like terms: 5v + -7v = -2v -61 + -2v = -91 + 7v + -7v Combine like terms: 7v + -7v = 0 -61 + -2v = -91 + 0 -61 + -2v = -91 Add '61' to each side of the equation. -61 + 61 + -2v = -91 + 61 Combine like terms: -61 + 61 = 0 0 + -2v = -91 + 61 -2v = -91 + 61 Combine like terms: -91 + 61 = -30 -2v = -30 Divide each side by '-2'. v = 15 Simplifying v = 15
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