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