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