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Simplifying 7(3n + 1) = 6(6n + 9) * 5 Reorder the terms: 7(1 + 3n) = 6(6n + 9) * 5 (1 * 7 + 3n * 7) = 6(6n + 9) * 5 (7 + 21n) = 6(6n + 9) * 5 Reorder the terms: 7 + 21n = 6(9 + 6n) * 5 Reorder the terms for easier multiplication: 7 + 21n = 6 * 5(9 + 6n) Multiply 6 * 5 7 + 21n = 30(9 + 6n) 7 + 21n = (9 * 30 + 6n * 30) 7 + 21n = (270 + 180n) Solving 7 + 21n = 270 + 180n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-180n' to each side of the equation. 7 + 21n + -180n = 270 + 180n + -180n Combine like terms: 21n + -180n = -159n 7 + -159n = 270 + 180n + -180n Combine like terms: 180n + -180n = 0 7 + -159n = 270 + 0 7 + -159n = 270 Add '-7' to each side of the equation. 7 + -7 + -159n = 270 + -7 Combine like terms: 7 + -7 = 0 0 + -159n = 270 + -7 -159n = 270 + -7 Combine like terms: 270 + -7 = 263 -159n = 263 Divide each side by '-159'. n = -1.65408805 Simplifying n = -1.65408805
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