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Simplifying 7n + 6(n + 4) = -36 + n Reorder the terms: 7n + 6(4 + n) = -36 + n 7n + (4 * 6 + n * 6) = -36 + n 7n + (24 + 6n) = -36 + n Reorder the terms: 24 + 7n + 6n = -36 + n Combine like terms: 7n + 6n = 13n 24 + 13n = -36 + n Solving 24 + 13n = -36 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + 13n + -1n = -36 + n + -1n Combine like terms: 13n + -1n = 12n 24 + 12n = -36 + n + -1n Combine like terms: n + -1n = 0 24 + 12n = -36 + 0 24 + 12n = -36 Add '-24' to each side of the equation. 24 + -24 + 12n = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 12n = -36 + -24 12n = -36 + -24 Combine like terms: -36 + -24 = -60 12n = -60 Divide each side by '12'. n = -5 Simplifying n = -5
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