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Simplifying 7 + -1n + -6 = -13 + 6n Reorder the terms: 7 + -6 + -1n = -13 + 6n Combine like terms: 7 + -6 = 1 1 + -1n = -13 + 6n Solving 1 + -1n = -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. 1 + -1n + -6n = -13 + 6n + -6n Combine like terms: -1n + -6n = -7n 1 + -7n = -13 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -7n = -13 + 0 1 + -7n = -13 Add '-1' to each side of the equation. 1 + -1 + -7n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -7n = -13 + -1 -7n = -13 + -1 Combine like terms: -13 + -1 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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