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Simplifying -4(11 + -2n) = 4(8n + 7) (11 * -4 + -2n * -4) = 4(8n + 7) (-44 + 8n) = 4(8n + 7) Reorder the terms: -44 + 8n = 4(7 + 8n) -44 + 8n = (7 * 4 + 8n * 4) -44 + 8n = (28 + 32n) Solving -44 + 8n = 28 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -44 + 8n + -32n = 28 + 32n + -32n Combine like terms: 8n + -32n = -24n -44 + -24n = 28 + 32n + -32n Combine like terms: 32n + -32n = 0 -44 + -24n = 28 + 0 -44 + -24n = 28 Add '44' to each side of the equation. -44 + 44 + -24n = 28 + 44 Combine like terms: -44 + 44 = 0 0 + -24n = 28 + 44 -24n = 28 + 44 Combine like terms: 28 + 44 = 72 -24n = 72 Divide each side by '-24'. n = -3 Simplifying n = -3
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