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Simplifying 6(2n + 5) = 8(4n + 3) + 7 Reorder the terms: 6(5 + 2n) = 8(4n + 3) + 7 (5 * 6 + 2n * 6) = 8(4n + 3) + 7 (30 + 12n) = 8(4n + 3) + 7 Reorder the terms: 30 + 12n = 8(3 + 4n) + 7 30 + 12n = (3 * 8 + 4n * 8) + 7 30 + 12n = (24 + 32n) + 7 Reorder the terms: 30 + 12n = 24 + 7 + 32n Combine like terms: 24 + 7 = 31 30 + 12n = 31 + 32n Solving 30 + 12n = 31 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 30 + 12n + -32n = 31 + 32n + -32n Combine like terms: 12n + -32n = -20n 30 + -20n = 31 + 32n + -32n Combine like terms: 32n + -32n = 0 30 + -20n = 31 + 0 30 + -20n = 31 Add '-30' to each side of the equation. 30 + -30 + -20n = 31 + -30 Combine like terms: 30 + -30 = 0 0 + -20n = 31 + -30 -20n = 31 + -30 Combine like terms: 31 + -30 = 1 -20n = 1 Divide each side by '-20'. n = -0.05 Simplifying n = -0.05
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