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Simplifying 6 + -1(-8v + 5) = 7 + 7v Reorder the terms: 6 + -1(5 + -8v) = 7 + 7v 6 + (5 * -1 + -8v * -1) = 7 + 7v 6 + (-5 + 8v) = 7 + 7v Combine like terms: 6 + -5 = 1 1 + 8v = 7 + 7v Solving 1 + 8v = 7 + 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. 1 + 8v + -7v = 7 + 7v + -7v Combine like terms: 8v + -7v = 1v 1 + 1v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + 1v = 7 + 0 1 + 1v = 7 Add '-1' to each side of the equation. 1 + -1 + 1v = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = 7 + -1 1v = 7 + -1 Combine like terms: 7 + -1 = 6 1v = 6 Divide each side by '1'. v = 6 Simplifying v = 6
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