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Simplifying -4 + 7n = -8n + 7(8 + 5n) -4 + 7n = -8n + (8 * 7 + 5n * 7) -4 + 7n = -8n + (56 + 35n) Reorder the terms: -4 + 7n = 56 + -8n + 35n Combine like terms: -8n + 35n = 27n -4 + 7n = 56 + 27n Solving -4 + 7n = 56 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -4 + 7n + -27n = 56 + 27n + -27n Combine like terms: 7n + -27n = -20n -4 + -20n = 56 + 27n + -27n Combine like terms: 27n + -27n = 0 -4 + -20n = 56 + 0 -4 + -20n = 56 Add '4' to each side of the equation. -4 + 4 + -20n = 56 + 4 Combine like terms: -4 + 4 = 0 0 + -20n = 56 + 4 -20n = 56 + 4 Combine like terms: 56 + 4 = 60 -20n = 60 Divide each side by '-20'. n = -3 Simplifying n = -3
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