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Simplifying 7(-1n + 6) + 2n = -13 + 6n Reorder the terms: 7(6 + -1n) + 2n = -13 + 6n (6 * 7 + -1n * 7) + 2n = -13 + 6n (42 + -7n) + 2n = -13 + 6n Combine like terms: -7n + 2n = -5n 42 + -5n = -13 + 6n Solving 42 + -5n = -13 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 42 + -5n + -6n = -13 + 6n + -6n Combine like terms: -5n + -6n = -11n 42 + -11n = -13 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + -11n = -13 + 0 42 + -11n = -13 Add '-42' to each side of the equation. 42 + -42 + -11n = -13 + -42 Combine like terms: 42 + -42 = 0 0 + -11n = -13 + -42 -11n = -13 + -42 Combine like terms: -13 + -42 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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