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Simplifying -1(n + 1) = -5 + -1(9 + 2n) Reorder the terms: -1(1 + n) = -5 + -1(9 + 2n) (1 * -1 + n * -1) = -5 + -1(9 + 2n) (-1 + -1n) = -5 + -1(9 + 2n) -1 + -1n = -5 + (9 * -1 + 2n * -1) -1 + -1n = -5 + (-9 + -2n) Combine like terms: -5 + -9 = -14 -1 + -1n = -14 + -2n Solving -1 + -1n = -14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -1 + -1n + 2n = -14 + -2n + 2n Combine like terms: -1n + 2n = 1n -1 + 1n = -14 + -2n + 2n Combine like terms: -2n + 2n = 0 -1 + 1n = -14 + 0 -1 + 1n = -14 Add '1' to each side of the equation. -1 + 1 + 1n = -14 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = -14 + 1 1n = -14 + 1 Combine like terms: -14 + 1 = -13 1n = -13 Divide each side by '1'. n = -13 Simplifying n = -13
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