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Simplifying -2(n + 1) = 19 + n Reorder the terms: -2(1 + n) = 19 + n (1 * -2 + n * -2) = 19 + n (-2 + -2n) = 19 + n Solving -2 + -2n = 19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + -2n + -1n = 19 + n + -1n Combine like terms: -2n + -1n = -3n -2 + -3n = 19 + n + -1n Combine like terms: n + -1n = 0 -2 + -3n = 19 + 0 -2 + -3n = 19 Add '2' to each side of the equation. -2 + 2 + -3n = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 19 + 2 -3n = 19 + 2 Combine like terms: 19 + 2 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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