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Simplifying n * 3 + -1 * 4 = n * 12 + 1 * 2 Reorder the terms for easier multiplication: 3n + -1 * 4 = n * 12 + 1 * 2 Multiply -1 * 4 3n + -4 = n * 12 + 1 * 2 Reorder the terms: -4 + 3n = n * 12 + 1 * 2 Reorder the terms for easier multiplication: -4 + 3n = 12n + 1 * 2 Multiply 1 * 2 -4 + 3n = 12n + 2 Reorder the terms: -4 + 3n = 2 + 12n Solving -4 + 3n = 2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -4 + 3n + -12n = 2 + 12n + -12n Combine like terms: 3n + -12n = -9n -4 + -9n = 2 + 12n + -12n Combine like terms: 12n + -12n = 0 -4 + -9n = 2 + 0 -4 + -9n = 2 Add '4' to each side of the equation. -4 + 4 + -9n = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -9n = 2 + 4 -9n = 2 + 4 Combine like terms: 2 + 4 = 6 -9n = 6 Divide each side by '-9'. n = -0.6666666667 Simplifying n = -0.6666666667
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