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Simplifying 7 = -1(7 + 5n) + 4(2n + 2) 7 = (7 * -1 + 5n * -1) + 4(2n + 2) 7 = (-7 + -5n) + 4(2n + 2) Reorder the terms: 7 = -7 + -5n + 4(2 + 2n) 7 = -7 + -5n + (2 * 4 + 2n * 4) 7 = -7 + -5n + (8 + 8n) Reorder the terms: 7 = -7 + 8 + -5n + 8n Combine like terms: -7 + 8 = 1 7 = 1 + -5n + 8n Combine like terms: -5n + 8n = 3n 7 = 1 + 3n Solving 7 = 1 + 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. 7 + -3n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -3n = 1 + 0 7 + -3n = 1 Add '-7' to each side of the equation. 7 + -7 + -3n = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 1 + -7 -3n = 1 + -7 Combine like terms: 1 + -7 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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