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Simplifying 6(n + -5) = 5(n + 2) + -3n Reorder the terms: 6(-5 + n) = 5(n + 2) + -3n (-5 * 6 + n * 6) = 5(n + 2) + -3n (-30 + 6n) = 5(n + 2) + -3n Reorder the terms: -30 + 6n = 5(2 + n) + -3n -30 + 6n = (2 * 5 + n * 5) + -3n -30 + 6n = (10 + 5n) + -3n Combine like terms: 5n + -3n = 2n -30 + 6n = 10 + 2n Solving -30 + 6n = 10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -30 + 6n + -2n = 10 + 2n + -2n Combine like terms: 6n + -2n = 4n -30 + 4n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + 4n = 10 + 0 -30 + 4n = 10 Add '30' to each side of the equation. -30 + 30 + 4n = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = 10 + 30 4n = 10 + 30 Combine like terms: 10 + 30 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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