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Simplifying 7n + -1(1 + 2n) = 6n 7n + (1 * -1 + 2n * -1) = 6n 7n + (-1 + -2n) = 6n Reorder the terms: -1 + 7n + -2n = 6n Combine like terms: 7n + -2n = 5n -1 + 5n = 6n Solving -1 + 5n = 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 + 5n + -6n = 6n + -6n Combine like terms: 5n + -6n = -1n -1 + -1n = 6n + -6n Combine like terms: 6n + -6n = 0 -1 + -1n = 0 Add '1' to each side of the equation. -1 + 1 + -1n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 0 + 1 -1n = 0 + 1 Combine like terms: 0 + 1 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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