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Simplifying -1(12n + 3) = 5(12n + -5n) + 4n Reorder the terms: -1(3 + 12n) = 5(12n + -5n) + 4n (3 * -1 + 12n * -1) = 5(12n + -5n) + 4n (-3 + -12n) = 5(12n + -5n) + 4n Combine like terms: 12n + -5n = 7n -3 + -12n = 5(7n) + 4n Remove parenthesis around (7n) -3 + -12n = 5 * 7n + 4n Multiply 5 * 7 -3 + -12n = 35n + 4n Combine like terms: 35n + 4n = 39n -3 + -12n = 39n Solving -3 + -12n = 39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39n' to each side of the equation. -3 + -12n + -39n = 39n + -39n Combine like terms: -12n + -39n = -51n -3 + -51n = 39n + -39n Combine like terms: 39n + -39n = 0 -3 + -51n = 0 Add '3' to each side of the equation. -3 + 3 + -51n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -51n = 0 + 3 -51n = 0 + 3 Combine like terms: 0 + 3 = 3 -51n = 3 Divide each side by '-51'. n = -0.05882352941 Simplifying n = -0.05882352941
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