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Simplifying 5(8n + -11) + 4 = 8(n + 4) Reorder the terms: 5(-11 + 8n) + 4 = 8(n + 4) (-11 * 5 + 8n * 5) + 4 = 8(n + 4) (-55 + 40n) + 4 = 8(n + 4) Reorder the terms: -55 + 4 + 40n = 8(n + 4) Combine like terms: -55 + 4 = -51 -51 + 40n = 8(n + 4) Reorder the terms: -51 + 40n = 8(4 + n) -51 + 40n = (4 * 8 + n * 8) -51 + 40n = (32 + 8n) Solving -51 + 40n = 32 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -51 + 40n + -8n = 32 + 8n + -8n Combine like terms: 40n + -8n = 32n -51 + 32n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -51 + 32n = 32 + 0 -51 + 32n = 32 Add '51' to each side of the equation. -51 + 51 + 32n = 32 + 51 Combine like terms: -51 + 51 = 0 0 + 32n = 32 + 51 32n = 32 + 51 Combine like terms: 32 + 51 = 83 32n = 83 Divide each side by '32'. n = 2.59375 Simplifying n = 2.59375
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