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Simplifying -2(7n + -38) + 4(4n + 2) = n + -1(7n + -44) Reorder the terms: -2(-38 + 7n) + 4(4n + 2) = n + -1(7n + -44) (-38 * -2 + 7n * -2) + 4(4n + 2) = n + -1(7n + -44) (76 + -14n) + 4(4n + 2) = n + -1(7n + -44) Reorder the terms: 76 + -14n + 4(2 + 4n) = n + -1(7n + -44) 76 + -14n + (2 * 4 + 4n * 4) = n + -1(7n + -44) 76 + -14n + (8 + 16n) = n + -1(7n + -44) Reorder the terms: 76 + 8 + -14n + 16n = n + -1(7n + -44) Combine like terms: 76 + 8 = 84 84 + -14n + 16n = n + -1(7n + -44) Combine like terms: -14n + 16n = 2n 84 + 2n = n + -1(7n + -44) Reorder the terms: 84 + 2n = n + -1(-44 + 7n) 84 + 2n = n + (-44 * -1 + 7n * -1) 84 + 2n = n + (44 + -7n) Reorder the terms: 84 + 2n = 44 + n + -7n Combine like terms: n + -7n = -6n 84 + 2n = 44 + -6n Solving 84 + 2n = 44 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 84 + 2n + 6n = 44 + -6n + 6n Combine like terms: 2n + 6n = 8n 84 + 8n = 44 + -6n + 6n Combine like terms: -6n + 6n = 0 84 + 8n = 44 + 0 84 + 8n = 44 Add '-84' to each side of the equation. 84 + -84 + 8n = 44 + -84 Combine like terms: 84 + -84 = 0 0 + 8n = 44 + -84 8n = 44 + -84 Combine like terms: 44 + -84 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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