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Simplifying -9(v + -2) = -5v + 6 Reorder the terms: -9(-2 + v) = -5v + 6 (-2 * -9 + v * -9) = -5v + 6 (18 + -9v) = -5v + 6 Reorder the terms: 18 + -9v = 6 + -5v Solving 18 + -9v = 6 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 18 + -9v + 5v = 6 + -5v + 5v Combine like terms: -9v + 5v = -4v 18 + -4v = 6 + -5v + 5v Combine like terms: -5v + 5v = 0 18 + -4v = 6 + 0 18 + -4v = 6 Add '-18' to each side of the equation. 18 + -18 + -4v = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4v = 6 + -18 -4v = 6 + -18 Combine like terms: 6 + -18 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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