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Simplifying -3(-9v + 6) + -5v = 4(v + -4) + -4 Reorder the terms: -3(6 + -9v) + -5v = 4(v + -4) + -4 (6 * -3 + -9v * -3) + -5v = 4(v + -4) + -4 (-18 + 27v) + -5v = 4(v + -4) + -4 Combine like terms: 27v + -5v = 22v -18 + 22v = 4(v + -4) + -4 Reorder the terms: -18 + 22v = 4(-4 + v) + -4 -18 + 22v = (-4 * 4 + v * 4) + -4 -18 + 22v = (-16 + 4v) + -4 Reorder the terms: -18 + 22v = -16 + -4 + 4v Combine like terms: -16 + -4 = -20 -18 + 22v = -20 + 4v Solving -18 + 22v = -20 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -18 + 22v + -4v = -20 + 4v + -4v Combine like terms: 22v + -4v = 18v -18 + 18v = -20 + 4v + -4v Combine like terms: 4v + -4v = 0 -18 + 18v = -20 + 0 -18 + 18v = -20 Add '18' to each side of the equation. -18 + 18 + 18v = -20 + 18 Combine like terms: -18 + 18 = 0 0 + 18v = -20 + 18 18v = -20 + 18 Combine like terms: -20 + 18 = -2 18v = -2 Divide each side by '18'. v = -0.1111111111 Simplifying v = -0.1111111111
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