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Simplifying 7(n + -5) + -1(4 + -6n) = 12n Reorder the terms: 7(-5 + n) + -1(4 + -6n) = 12n (-5 * 7 + n * 7) + -1(4 + -6n) = 12n (-35 + 7n) + -1(4 + -6n) = 12n -35 + 7n + (4 * -1 + -6n * -1) = 12n -35 + 7n + (-4 + 6n) = 12n Reorder the terms: -35 + -4 + 7n + 6n = 12n Combine like terms: -35 + -4 = -39 -39 + 7n + 6n = 12n Combine like terms: 7n + 6n = 13n -39 + 13n = 12n Solving -39 + 13n = 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. -39 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n -39 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 -39 + 1n = 0 Add '39' to each side of the equation. -39 + 39 + 1n = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 1n = 0 + 39 1n = 0 + 39 Combine like terms: 0 + 39 = 39 1n = 39 Divide each side by '1'. n = 39 Simplifying n = 39
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