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Simplifying 12n + -3 = 3 + -7(n + -4) + 5n Reorder the terms: -3 + 12n = 3 + -7(n + -4) + 5n Reorder the terms: -3 + 12n = 3 + -7(-4 + n) + 5n -3 + 12n = 3 + (-4 * -7 + n * -7) + 5n -3 + 12n = 3 + (28 + -7n) + 5n Combine like terms: 3 + 28 = 31 -3 + 12n = 31 + -7n + 5n Combine like terms: -7n + 5n = -2n -3 + 12n = 31 + -2n Solving -3 + 12n = 31 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -3 + 12n + 2n = 31 + -2n + 2n Combine like terms: 12n + 2n = 14n -3 + 14n = 31 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + 14n = 31 + 0 -3 + 14n = 31 Add '3' to each side of the equation. -3 + 3 + 14n = 31 + 3 Combine like terms: -3 + 3 = 0 0 + 14n = 31 + 3 14n = 31 + 3 Combine like terms: 31 + 3 = 34 14n = 34 Divide each side by '14'. n = 2.428571429 Simplifying n = 2.428571429
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