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Simplifying 4 + -4(9n + -5) = (3n + -3) + 9 Reorder the terms: 4 + -4(-5 + 9n) = (3n + -3) + 9 4 + (-5 * -4 + 9n * -4) = (3n + -3) + 9 4 + (20 + -36n) = (3n + -3) + 9 Combine like terms: 4 + 20 = 24 24 + -36n = (3n + -3) + 9 Reorder the terms: 24 + -36n = (-3 + 3n) + 9 Remove parenthesis around (-3 + 3n) 24 + -36n = -3 + 3n + 9 Reorder the terms: 24 + -36n = -3 + 9 + 3n Combine like terms: -3 + 9 = 6 24 + -36n = 6 + 3n Solving 24 + -36n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 24 + -36n + -3n = 6 + 3n + -3n Combine like terms: -36n + -3n = -39n 24 + -39n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + -39n = 6 + 0 24 + -39n = 6 Add '-24' to each side of the equation. 24 + -24 + -39n = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -39n = 6 + -24 -39n = 6 + -24 Combine like terms: 6 + -24 = -18 -39n = -18 Divide each side by '-39'. n = 0.4615384615 Simplifying n = 0.4615384615
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