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Simplifying 1 + 4n = -13 + -7n + -6 + -2 Reorder the terms: 1 + 4n = -13 + -6 + -2 + -7n Combine like terms: -13 + -6 = -19 1 + 4n = -19 + -2 + -7n Combine like terms: -19 + -2 = -21 1 + 4n = -21 + -7n Solving 1 + 4n = -21 + -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. 1 + 4n + 7n = -21 + -7n + 7n Combine like terms: 4n + 7n = 11n 1 + 11n = -21 + -7n + 7n Combine like terms: -7n + 7n = 0 1 + 11n = -21 + 0 1 + 11n = -21 Add '-1' to each side of the equation. 1 + -1 + 11n = -21 + -1 Combine like terms: 1 + -1 = 0 0 + 11n = -21 + -1 11n = -21 + -1 Combine like terms: -21 + -1 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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