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Simplifying 4(-1n + 4) = -4(9 + -12n) Reorder the terms: 4(4 + -1n) = -4(9 + -12n) (4 * 4 + -1n * 4) = -4(9 + -12n) (16 + -4n) = -4(9 + -12n) 16 + -4n = (9 * -4 + -12n * -4) 16 + -4n = (-36 + 48n) Solving 16 + -4n = -36 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 16 + -4n + -48n = -36 + 48n + -48n Combine like terms: -4n + -48n = -52n 16 + -52n = -36 + 48n + -48n Combine like terms: 48n + -48n = 0 16 + -52n = -36 + 0 16 + -52n = -36 Add '-16' to each side of the equation. 16 + -16 + -52n = -36 + -16 Combine like terms: 16 + -16 = 0 0 + -52n = -36 + -16 -52n = -36 + -16 Combine like terms: -36 + -16 = -52 -52n = -52 Divide each side by '-52'. n = 1 Simplifying n = 1
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