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Simplifying -7(-4v + 6) + -5v = 5(v + -5) + -9 Reorder the terms: -7(6 + -4v) + -5v = 5(v + -5) + -9 (6 * -7 + -4v * -7) + -5v = 5(v + -5) + -9 (-42 + 28v) + -5v = 5(v + -5) + -9 Combine like terms: 28v + -5v = 23v -42 + 23v = 5(v + -5) + -9 Reorder the terms: -42 + 23v = 5(-5 + v) + -9 -42 + 23v = (-5 * 5 + v * 5) + -9 -42 + 23v = (-25 + 5v) + -9 Reorder the terms: -42 + 23v = -25 + -9 + 5v Combine like terms: -25 + -9 = -34 -42 + 23v = -34 + 5v Solving -42 + 23v = -34 + 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. -42 + 23v + -5v = -34 + 5v + -5v Combine like terms: 23v + -5v = 18v -42 + 18v = -34 + 5v + -5v Combine like terms: 5v + -5v = 0 -42 + 18v = -34 + 0 -42 + 18v = -34 Add '42' to each side of the equation. -42 + 42 + 18v = -34 + 42 Combine like terms: -42 + 42 = 0 0 + 18v = -34 + 42 18v = -34 + 42 Combine like terms: -34 + 42 = 8 18v = 8 Divide each side by '18'. v = 0.4444444444 Simplifying v = 0.4444444444
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