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Simplifying -2n + -2(1 + 2n) = -5n + -5 -2n + (1 * -2 + 2n * -2) = -5n + -5 -2n + (-2 + -4n) = -5n + -5 Reorder the terms: -2 + -2n + -4n = -5n + -5 Combine like terms: -2n + -4n = -6n -2 + -6n = -5n + -5 Reorder the terms: -2 + -6n = -5 + -5n Solving -2 + -6n = -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. -2 + -6n + 5n = -5 + -5n + 5n Combine like terms: -6n + 5n = -1n -2 + -1n = -5 + -5n + 5n Combine like terms: -5n + 5n = 0 -2 + -1n = -5 + 0 -2 + -1n = -5 Add '2' to each side of the equation. -2 + 2 + -1n = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = -5 + 2 -1n = -5 + 2 Combine like terms: -5 + 2 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3
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