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Simplifying -3(3v + -2) + -5 = 7 + -1v Reorder the terms: -3(-2 + 3v) + -5 = 7 + -1v (-2 * -3 + 3v * -3) + -5 = 7 + -1v (6 + -9v) + -5 = 7 + -1v Reorder the terms: 6 + -5 + -9v = 7 + -1v Combine like terms: 6 + -5 = 1 1 + -9v = 7 + -1v Solving 1 + -9v = 7 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 1 + -9v + v = 7 + -1v + v Combine like terms: -9v + v = -8v 1 + -8v = 7 + -1v + v Combine like terms: -1v + v = 0 1 + -8v = 7 + 0 1 + -8v = 7 Add '-1' to each side of the equation. 1 + -1 + -8v = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -8v = 7 + -1 -8v = 7 + -1 Combine like terms: 7 + -1 = 6 -8v = 6 Divide each side by '-8'. v = -0.75 Simplifying v = -0.75
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