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Simplifying 9(v + -4) + -4 = 5v + 3 Reorder the terms: 9(-4 + v) + -4 = 5v + 3 (-4 * 9 + v * 9) + -4 = 5v + 3 (-36 + 9v) + -4 = 5v + 3 Reorder the terms: -36 + -4 + 9v = 5v + 3 Combine like terms: -36 + -4 = -40 -40 + 9v = 5v + 3 Reorder the terms: -40 + 9v = 3 + 5v Solving -40 + 9v = 3 + 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. -40 + 9v + -5v = 3 + 5v + -5v Combine like terms: 9v + -5v = 4v -40 + 4v = 3 + 5v + -5v Combine like terms: 5v + -5v = 0 -40 + 4v = 3 + 0 -40 + 4v = 3 Add '40' to each side of the equation. -40 + 40 + 4v = 3 + 40 Combine like terms: -40 + 40 = 0 0 + 4v = 3 + 40 4v = 3 + 40 Combine like terms: 3 + 40 = 43 4v = 43 Divide each side by '4'. v = 10.75 Simplifying v = 10.75
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