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Simplifying 8 + -1(n + -1) + 3n + -7 = n + -3 Reorder the terms: 8 + -1(-1 + n) + 3n + -7 = n + -3 8 + (-1 * -1 + n * -1) + 3n + -7 = n + -3 8 + (1 + -1n) + 3n + -7 = n + -3 Reorder the terms: 8 + 1 + -7 + -1n + 3n = n + -3 Combine like terms: 8 + 1 = 9 9 + -7 + -1n + 3n = n + -3 Combine like terms: 9 + -7 = 2 2 + -1n + 3n = n + -3 Combine like terms: -1n + 3n = 2n 2 + 2n = n + -3 Reorder the terms: 2 + 2n = -3 + n Solving 2 + 2n = -3 + 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 = -3 + n + -1n Combine like terms: 2n + -1n = 1n 2 + 1n = -3 + n + -1n Combine like terms: n + -1n = 0 2 + 1n = -3 + 0 2 + 1n = -3 Add '-2' to each side of the equation. 2 + -2 + 1n = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = -3 + -2 1n = -3 + -2 Combine like terms: -3 + -2 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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