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Simplifying 22 + 5n = -6(6 + 4n) 22 + 5n = (6 * -6 + 4n * -6) 22 + 5n = (-36 + -24n) Solving 22 + 5n = -36 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 22 + 5n + 24n = -36 + -24n + 24n Combine like terms: 5n + 24n = 29n 22 + 29n = -36 + -24n + 24n Combine like terms: -24n + 24n = 0 22 + 29n = -36 + 0 22 + 29n = -36 Add '-22' to each side of the equation. 22 + -22 + 29n = -36 + -22 Combine like terms: 22 + -22 = 0 0 + 29n = -36 + -22 29n = -36 + -22 Combine like terms: -36 + -22 = -58 29n = -58 Divide each side by '29'. n = -2 Simplifying n = -2
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