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Simplifying 4(9 + 7n) = -8n + 8(1 + 5n) (9 * 4 + 7n * 4) = -8n + 8(1 + 5n) (36 + 28n) = -8n + 8(1 + 5n) 36 + 28n = -8n + (1 * 8 + 5n * 8) 36 + 28n = -8n + (8 + 40n) Reorder the terms: 36 + 28n = 8 + -8n + 40n Combine like terms: -8n + 40n = 32n 36 + 28n = 8 + 32n Solving 36 + 28n = 8 + 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. 36 + 28n + -32n = 8 + 32n + -32n Combine like terms: 28n + -32n = -4n 36 + -4n = 8 + 32n + -32n Combine like terms: 32n + -32n = 0 36 + -4n = 8 + 0 36 + -4n = 8 Add '-36' to each side of the equation. 36 + -36 + -4n = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -4n = 8 + -36 -4n = 8 + -36 Combine like terms: 8 + -36 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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