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Simplifying 7(-6v + 8) = 13 + v Reorder the terms: 7(8 + -6v) = 13 + v (8 * 7 + -6v * 7) = 13 + v (56 + -42v) = 13 + v Solving 56 + -42v = 13 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 56 + -42v + -1v = 13 + v + -1v Combine like terms: -42v + -1v = -43v 56 + -43v = 13 + v + -1v Combine like terms: v + -1v = 0 56 + -43v = 13 + 0 56 + -43v = 13 Add '-56' to each side of the equation. 56 + -56 + -43v = 13 + -56 Combine like terms: 56 + -56 = 0 0 + -43v = 13 + -56 -43v = 13 + -56 Combine like terms: 13 + -56 = -43 -43v = -43 Divide each side by '-43'. v = 1 Simplifying v = 1
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