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Simplifying -3(4n + -4) + -9 = 9(4n + -5) Reorder the terms: -3(-4 + 4n) + -9 = 9(4n + -5) (-4 * -3 + 4n * -3) + -9 = 9(4n + -5) (12 + -12n) + -9 = 9(4n + -5) Reorder the terms: 12 + -9 + -12n = 9(4n + -5) Combine like terms: 12 + -9 = 3 3 + -12n = 9(4n + -5) Reorder the terms: 3 + -12n = 9(-5 + 4n) 3 + -12n = (-5 * 9 + 4n * 9) 3 + -12n = (-45 + 36n) Solving 3 + -12n = -45 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 3 + -12n + -36n = -45 + 36n + -36n Combine like terms: -12n + -36n = -48n 3 + -48n = -45 + 36n + -36n Combine like terms: 36n + -36n = 0 3 + -48n = -45 + 0 3 + -48n = -45 Add '-3' to each side of the equation. 3 + -3 + -48n = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -48n = -45 + -3 -48n = -45 + -3 Combine like terms: -45 + -3 = -48 -48n = -48 Divide each side by '-48'. n = 1 Simplifying n = 1
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