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Simplifying -1(7v + -1) = -6v + 5 Reorder the terms: -1(-1 + 7v) = -6v + 5 (-1 * -1 + 7v * -1) = -6v + 5 (1 + -7v) = -6v + 5 Reorder the terms: 1 + -7v = 5 + -6v Solving 1 + -7v = 5 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 1 + -7v + 6v = 5 + -6v + 6v Combine like terms: -7v + 6v = -1v 1 + -1v = 5 + -6v + 6v Combine like terms: -6v + 6v = 0 1 + -1v = 5 + 0 1 + -1v = 5 Add '-1' to each side of the equation. 1 + -1 + -1v = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 5 + -1 -1v = 5 + -1 Combine like terms: 5 + -1 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4
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