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Simplifying -19 = -2(n + 5) + 1 Reorder the terms: -19 = -2(5 + n) + 1 -19 = (5 * -2 + n * -2) + 1 -19 = (-10 + -2n) + 1 Reorder the terms: -19 = -10 + 1 + -2n Combine like terms: -10 + 1 = -9 -19 = -9 + -2n Solving -19 = -9 + -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. -19 + 2n = -9 + -2n + 2n Combine like terms: -2n + 2n = 0 -19 + 2n = -9 + 0 -19 + 2n = -9 Add '19' to each side of the equation. -19 + 19 + 2n = -9 + 19 Combine like terms: -19 + 19 = 0 0 + 2n = -9 + 19 2n = -9 + 19 Combine like terms: -9 + 19 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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