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Simplifying -1(1 + 5n) + 4 = -7 + 4(n + 7) (1 * -1 + 5n * -1) + 4 = -7 + 4(n + 7) (-1 + -5n) + 4 = -7 + 4(n + 7) Reorder the terms: -1 + 4 + -5n = -7 + 4(n + 7) Combine like terms: -1 + 4 = 3 3 + -5n = -7 + 4(n + 7) Reorder the terms: 3 + -5n = -7 + 4(7 + n) 3 + -5n = -7 + (7 * 4 + n * 4) 3 + -5n = -7 + (28 + 4n) Combine like terms: -7 + 28 = 21 3 + -5n = 21 + 4n Solving 3 + -5n = 21 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + -5n + -4n = 21 + 4n + -4n Combine like terms: -5n + -4n = -9n 3 + -9n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -9n = 21 + 0 3 + -9n = 21 Add '-3' to each side of the equation. 3 + -3 + -9n = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -9n = 21 + -3 -9n = 21 + -3 Combine like terms: 21 + -3 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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