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