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Simplifying 6(n + 1) = 7n + -5 Reorder the terms: 6(1 + n) = 7n + -5 (1 * 6 + n * 6) = 7n + -5 (6 + 6n) = 7n + -5 Reorder the terms: 6 + 6n = -5 + 7n Solving 6 + 6n = -5 + 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. 6 + 6n + -7n = -5 + 7n + -7n Combine like terms: 6n + -7n = -1n 6 + -1n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 6 + -1n = -5 + 0 6 + -1n = -5 Add '-6' to each side of the equation. 6 + -6 + -1n = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = -5 + -6 -1n = -5 + -6 Combine like terms: -5 + -6 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11
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