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Simplifying 2n + -1(1n + -5) = -6n + -10 Reorder the terms: 2n + -1(-5 + 1n) = -6n + -10 2n + (-5 * -1 + 1n * -1) = -6n + -10 2n + (5 + -1n) = -6n + -10 Reorder the terms: 5 + 2n + -1n = -6n + -10 Combine like terms: 2n + -1n = 1n 5 + 1n = -6n + -10 Reorder the terms: 5 + 1n = -10 + -6n Solving 5 + 1n = -10 + -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. 5 + 1n + 6n = -10 + -6n + 6n Combine like terms: 1n + 6n = 7n 5 + 7n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 5 + 7n = -10 + 0 5 + 7n = -10 Add '-5' to each side of the equation. 5 + -5 + 7n = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = -10 + -5 7n = -10 + -5 Combine like terms: -10 + -5 = -15 7n = -15 Divide each side by '7'. n = -2.142857143 Simplifying n = -2.142857143
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