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Simplifying 8x + (n + -1) = 5n + -2(n + 1) Reorder the terms: 8x + (-1 + n) = 5n + -2(n + 1) Remove parenthesis around (-1 + n) 8x + -1 + n = 5n + -2(n + 1) Reorder the terms: -1 + n + 8x = 5n + -2(n + 1) Reorder the terms: -1 + n + 8x = 5n + -2(1 + n) -1 + n + 8x = 5n + (1 * -2 + n * -2) -1 + n + 8x = 5n + (-2 + -2n) Reorder the terms: -1 + n + 8x = -2 + 5n + -2n Combine like terms: 5n + -2n = 3n -1 + n + 8x = -2 + 3n Solving -1 + n + 8x = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -1 + n + -3n + 8x = -2 + 3n + -3n Combine like terms: n + -3n = -2n -1 + -2n + 8x = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 -1 + -2n + 8x = -2 + 0 -1 + -2n + 8x = -2 Add '1' to each side of the equation. -1 + -2n + 1 + 8x = -2 + 1 Reorder the terms: -1 + 1 + -2n + 8x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -2n + 8x = -2 + 1 -2n + 8x = -2 + 1 Combine like terms: -2 + 1 = -1 -2n + 8x = -1 Add '-8x' to each side of the equation. -2n + 8x + -8x = -1 + -8x Combine like terms: 8x + -8x = 0 -2n + 0 = -1 + -8x -2n = -1 + -8x Divide each side by '-2'. n = 0.5 + 4x Simplifying n = 0.5 + 4x
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