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Simplifying -30 + 5n = -6(4n + 5) + 7n Reorder the terms: -30 + 5n = -6(5 + 4n) + 7n -30 + 5n = (5 * -6 + 4n * -6) + 7n -30 + 5n = (-30 + -24n) + 7n Combine like terms: -24n + 7n = -17n -30 + 5n = -30 + -17n Add '30' to each side of the equation. -30 + 30 + 5n = -30 + 30 + -17n Combine like terms: -30 + 30 = 0 0 + 5n = -30 + 30 + -17n 5n = -30 + 30 + -17n Combine like terms: -30 + 30 = 0 5n = 0 + -17n 5n = -17n Solving 5n = -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. 5n + 17n = -17n + 17n Combine like terms: 5n + 17n = 22n 22n = -17n + 17n Combine like terms: -17n + 17n = 0 22n = 0 Divide each side by '22'. n = 0 Simplifying n = 0
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