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Simplifying 2(5 + -6n) = -5(n + -5) + -1 (5 * 2 + -6n * 2) = -5(n + -5) + -1 (10 + -12n) = -5(n + -5) + -1 Reorder the terms: 10 + -12n = -5(-5 + n) + -1 10 + -12n = (-5 * -5 + n * -5) + -1 10 + -12n = (25 + -5n) + -1 Reorder the terms: 10 + -12n = 25 + -1 + -5n Combine like terms: 25 + -1 = 24 10 + -12n = 24 + -5n Solving 10 + -12n = 24 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 10 + -12n + 5n = 24 + -5n + 5n Combine like terms: -12n + 5n = -7n 10 + -7n = 24 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + -7n = 24 + 0 10 + -7n = 24 Add '-10' to each side of the equation. 10 + -10 + -7n = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = 24 + -10 -7n = 24 + -10 Combine like terms: 24 + -10 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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