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Simplifying 7(n + -4) + -1(2 + -6n) = 12n Reorder the terms: 7(-4 + n) + -1(2 + -6n) = 12n (-4 * 7 + n * 7) + -1(2 + -6n) = 12n (-28 + 7n) + -1(2 + -6n) = 12n -28 + 7n + (2 * -1 + -6n * -1) = 12n -28 + 7n + (-2 + 6n) = 12n Reorder the terms: -28 + -2 + 7n + 6n = 12n Combine like terms: -28 + -2 = -30 -30 + 7n + 6n = 12n Combine like terms: 7n + 6n = 13n -30 + 13n = 12n Solving -30 + 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. -30 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n -30 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 -30 + 1n = 0 Add '30' to each side of the equation. -30 + 30 + 1n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1n = 0 + 30 1n = 0 + 30 Combine like terms: 0 + 30 = 30 1n = 30 Divide each side by '1'. n = 30 Simplifying n = 30
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