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Simplifying 18 + 7n = -4(n + 1) Reorder the terms: 18 + 7n = -4(1 + n) 18 + 7n = (1 * -4 + n * -4) 18 + 7n = (-4 + -4n) Solving 18 + 7n = -4 + -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. 18 + 7n + 4n = -4 + -4n + 4n Combine like terms: 7n + 4n = 11n 18 + 11n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 18 + 11n = -4 + 0 18 + 11n = -4 Add '-18' to each side of the equation. 18 + -18 + 11n = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 11n = -4 + -18 11n = -4 + -18 Combine like terms: -4 + -18 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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