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Simplifying 7v + 7 = 19v + 3v + 61 Reorder the terms: 7 + 7v = 19v + 3v + 61 Reorder the terms: 7 + 7v = 61 + 19v + 3v Combine like terms: 19v + 3v = 22v 7 + 7v = 61 + 22v Solving 7 + 7v = 61 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. 7 + 7v + -22v = 61 + 22v + -22v Combine like terms: 7v + -22v = -15v 7 + -15v = 61 + 22v + -22v Combine like terms: 22v + -22v = 0 7 + -15v = 61 + 0 7 + -15v = 61 Add '-7' to each side of the equation. 7 + -7 + -15v = 61 + -7 Combine like terms: 7 + -7 = 0 0 + -15v = 61 + -7 -15v = 61 + -7 Combine like terms: 61 + -7 = 54 -15v = 54 Divide each side by '-15'. v = -3.6 Simplifying v = -3.6
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