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Simplifying 5(7 + -1n) = 3(n + 1) + 48 (7 * 5 + -1n * 5) = 3(n + 1) + 48 (35 + -5n) = 3(n + 1) + 48 Reorder the terms: 35 + -5n = 3(1 + n) + 48 35 + -5n = (1 * 3 + n * 3) + 48 35 + -5n = (3 + 3n) + 48 Reorder the terms: 35 + -5n = 3 + 48 + 3n Combine like terms: 3 + 48 = 51 35 + -5n = 51 + 3n Solving 35 + -5n = 51 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 35 + -5n + -3n = 51 + 3n + -3n Combine like terms: -5n + -3n = -8n 35 + -8n = 51 + 3n + -3n Combine like terms: 3n + -3n = 0 35 + -8n = 51 + 0 35 + -8n = 51 Add '-35' to each side of the equation. 35 + -35 + -8n = 51 + -35 Combine like terms: 35 + -35 = 0 0 + -8n = 51 + -35 -8n = 51 + -35 Combine like terms: 51 + -35 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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