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Simplifying -1 + -6n = -7(n + -1) Reorder the terms: -1 + -6n = -7(-1 + n) -1 + -6n = (-1 * -7 + n * -7) -1 + -6n = (7 + -7n) Solving -1 + -6n = 7 + -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. -1 + -6n + 7n = 7 + -7n + 7n Combine like terms: -6n + 7n = 1n -1 + 1n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 -1 + 1n = 7 + 0 -1 + 1n = 7 Add '1' to each side of the equation. -1 + 1 + 1n = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = 7 + 1 1n = 7 + 1 Combine like terms: 7 + 1 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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