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Simplifying 6(n + -4) + -1(5 + -7n) = 12n Reorder the terms: 6(-4 + n) + -1(5 + -7n) = 12n (-4 * 6 + n * 6) + -1(5 + -7n) = 12n (-24 + 6n) + -1(5 + -7n) = 12n -24 + 6n + (5 * -1 + -7n * -1) = 12n -24 + 6n + (-5 + 7n) = 12n Reorder the terms: -24 + -5 + 6n + 7n = 12n Combine like terms: -24 + -5 = -29 -29 + 6n + 7n = 12n Combine like terms: 6n + 7n = 13n -29 + 13n = 12n Solving -29 + 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. -29 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n -29 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 -29 + 1n = 0 Add '29' to each side of the equation. -29 + 29 + 1n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1n = 0 + 29 1n = 0 + 29 Combine like terms: 0 + 29 = 29 1n = 29 Divide each side by '1'. n = 29 Simplifying n = 29
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