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