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Simplifying -2(5v + -9) + v = 6(v + 6) Reorder the terms: -2(-9 + 5v) + v = 6(v + 6) (-9 * -2 + 5v * -2) + v = 6(v + 6) (18 + -10v) + v = 6(v + 6) Combine like terms: -10v + v = -9v 18 + -9v = 6(v + 6) Reorder the terms: 18 + -9v = 6(6 + v) 18 + -9v = (6 * 6 + v * 6) 18 + -9v = (36 + 6v) Solving 18 + -9v = 36 + 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. 18 + -9v + -6v = 36 + 6v + -6v Combine like terms: -9v + -6v = -15v 18 + -15v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 18 + -15v = 36 + 0 18 + -15v = 36 Add '-18' to each side of the equation. 18 + -18 + -15v = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -15v = 36 + -18 -15v = 36 + -18 Combine like terms: 36 + -18 = 18 -15v = 18 Divide each side by '-15'. v = -1.2 Simplifying v = -1.2
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