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Simplifying 5(n + -7) + -1(6 + -2n) = 6n Reorder the terms: 5(-7 + n) + -1(6 + -2n) = 6n (-7 * 5 + n * 5) + -1(6 + -2n) = 6n (-35 + 5n) + -1(6 + -2n) = 6n -35 + 5n + (6 * -1 + -2n * -1) = 6n -35 + 5n + (-6 + 2n) = 6n Reorder the terms: -35 + -6 + 5n + 2n = 6n Combine like terms: -35 + -6 = -41 -41 + 5n + 2n = 6n Combine like terms: 5n + 2n = 7n -41 + 7n = 6n Solving -41 + 7n = 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. -41 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -41 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -41 + 1n = 0 Add '41' to each side of the equation. -41 + 41 + 1n = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1n = 0 + 41 1n = 0 + 41 Combine like terms: 0 + 41 = 41 1n = 41 Divide each side by '1'. n = 41 Simplifying n = 41
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