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Simplifying 42 = 8v + -1v Combine like terms: 8v + -1v = 7v 42 = 7v Solving 42 = 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. 42 + -7v = 7v + -7v Combine like terms: 7v + -7v = 0 42 + -7v = 0 Add '-42' to each side of the equation. 42 + -42 + -7v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7v = 0 + -42 -7v = 0 + -42 Combine like terms: 0 + -42 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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