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Simplifying 7 + 3(n + -2) + -11n = -7(n + 2) + 4 Reorder the terms: 7 + 3(-2 + n) + -11n = -7(n + 2) + 4 7 + (-2 * 3 + n * 3) + -11n = -7(n + 2) + 4 7 + (-6 + 3n) + -11n = -7(n + 2) + 4 Combine like terms: 7 + -6 = 1 1 + 3n + -11n = -7(n + 2) + 4 Combine like terms: 3n + -11n = -8n 1 + -8n = -7(n + 2) + 4 Reorder the terms: 1 + -8n = -7(2 + n) + 4 1 + -8n = (2 * -7 + n * -7) + 4 1 + -8n = (-14 + -7n) + 4 Reorder the terms: 1 + -8n = -14 + 4 + -7n Combine like terms: -14 + 4 = -10 1 + -8n = -10 + -7n Solving 1 + -8n = -10 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 1 + -8n + 7n = -10 + -7n + 7n Combine like terms: -8n + 7n = -1n 1 + -1n = -10 + -7n + 7n Combine like terms: -7n + 7n = 0 1 + -1n = -10 + 0 1 + -1n = -10 Add '-1' to each side of the equation. 1 + -1 + -1n = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -10 + -1 -1n = -10 + -1 Combine like terms: -10 + -1 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11
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