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Simplifying 28 + 4n = -1 + -7(n + -1) Reorder the terms: 28 + 4n = -1 + -7(-1 + n) 28 + 4n = -1 + (-1 * -7 + n * -7) 28 + 4n = -1 + (7 + -7n) Combine like terms: -1 + 7 = 6 28 + 4n = 6 + -7n Solving 28 + 4n = 6 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 28 + 4n + 7n = 6 + -7n + 7n Combine like terms: 4n + 7n = 11n 28 + 11n = 6 + -7n + 7n Combine like terms: -7n + 7n = 0 28 + 11n = 6 + 0 28 + 11n = 6 Add '-28' to each side of the equation. 28 + -28 + 11n = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 11n = 6 + -28 11n = 6 + -28 Combine like terms: 6 + -28 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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