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Simplifying 6(n + 6) = 7n + -2 Reorder the terms: 6(6 + n) = 7n + -2 (6 * 6 + n * 6) = 7n + -2 (36 + 6n) = 7n + -2 Reorder the terms: 36 + 6n = -2 + 7n Solving 36 + 6n = -2 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 36 + 6n + -7n = -2 + 7n + -7n Combine like terms: 6n + -7n = -1n 36 + -1n = -2 + 7n + -7n Combine like terms: 7n + -7n = 0 36 + -1n = -2 + 0 36 + -1n = -2 Add '-36' to each side of the equation. 36 + -36 + -1n = -2 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = -2 + -36 -1n = -2 + -36 Combine like terms: -2 + -36 = -38 -1n = -38 Divide each side by '-1'. n = 38 Simplifying n = 38
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