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Simplifying -3(-2v + -1) + -2 = 7v + -6 Reorder the terms: -3(-1 + -2v) + -2 = 7v + -6 (-1 * -3 + -2v * -3) + -2 = 7v + -6 (3 + 6v) + -2 = 7v + -6 Reorder the terms: 3 + -2 + 6v = 7v + -6 Combine like terms: 3 + -2 = 1 1 + 6v = 7v + -6 Reorder the terms: 1 + 6v = -6 + 7v Solving 1 + 6v = -6 + 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 + 6v + -7v = -6 + 7v + -7v Combine like terms: 6v + -7v = -1v 1 + -1v = -6 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -1v = -6 + 0 1 + -1v = -6 Add '-1' to each side of the equation. 1 + -1 + -1v = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = -6 + -1 -1v = -6 + -1 Combine like terms: -6 + -1 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7
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