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