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Simplifying 8(5n + 3) + -7n = 6(6n + 4) Reorder the terms: 8(3 + 5n) + -7n = 6(6n + 4) (3 * 8 + 5n * 8) + -7n = 6(6n + 4) (24 + 40n) + -7n = 6(6n + 4) Combine like terms: 40n + -7n = 33n 24 + 33n = 6(6n + 4) Reorder the terms: 24 + 33n = 6(4 + 6n) 24 + 33n = (4 * 6 + 6n * 6) 24 + 33n = (24 + 36n) Add '-24' to each side of the equation. 24 + -24 + 33n = 24 + -24 + 36n Combine like terms: 24 + -24 = 0 0 + 33n = 24 + -24 + 36n 33n = 24 + -24 + 36n Combine like terms: 24 + -24 = 0 33n = 0 + 36n 33n = 36n Solving 33n = 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 33n + -36n = 36n + -36n Combine like terms: 33n + -36n = -3n -3n = 36n + -36n Combine like terms: 36n + -36n = 0 -3n = 0 Divide each side by '-3'. n = 0 Simplifying n = 0
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