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Simplifying 4n + -30 = -6(6n + 5) + -5n Reorder the terms: -30 + 4n = -6(6n + 5) + -5n Reorder the terms: -30 + 4n = -6(5 + 6n) + -5n -30 + 4n = (5 * -6 + 6n * -6) + -5n -30 + 4n = (-30 + -36n) + -5n Combine like terms: -36n + -5n = -41n -30 + 4n = -30 + -41n Add '30' to each side of the equation. -30 + 30 + 4n = -30 + 30 + -41n Combine like terms: -30 + 30 = 0 0 + 4n = -30 + 30 + -41n 4n = -30 + 30 + -41n Combine like terms: -30 + 30 = 0 4n = 0 + -41n 4n = -41n Solving 4n = -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 4n + 41n = -41n + 41n Combine like terms: 4n + 41n = 45n 45n = -41n + 41n Combine like terms: -41n + 41n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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