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Simplifying 8(3n + 4) = 6(6n + 4) + 7 Reorder the terms: 8(4 + 3n) = 6(6n + 4) + 7 (4 * 8 + 3n * 8) = 6(6n + 4) + 7 (32 + 24n) = 6(6n + 4) + 7 Reorder the terms: 32 + 24n = 6(4 + 6n) + 7 32 + 24n = (4 * 6 + 6n * 6) + 7 32 + 24n = (24 + 36n) + 7 Reorder the terms: 32 + 24n = 24 + 7 + 36n Combine like terms: 24 + 7 = 31 32 + 24n = 31 + 36n Solving 32 + 24n = 31 + 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. 32 + 24n + -36n = 31 + 36n + -36n Combine like terms: 24n + -36n = -12n 32 + -12n = 31 + 36n + -36n Combine like terms: 36n + -36n = 0 32 + -12n = 31 + 0 32 + -12n = 31 Add '-32' to each side of the equation. 32 + -32 + -12n = 31 + -32 Combine like terms: 32 + -32 = 0 0 + -12n = 31 + -32 -12n = 31 + -32 Combine like terms: 31 + -32 = -1 -12n = -1 Divide each side by '-12'. n = 0.08333333333 Simplifying n = 0.08333333333
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