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Simplifying 2(3n + 5) = 6(6n + 7) * 8 Reorder the terms: 2(5 + 3n) = 6(6n + 7) * 8 (5 * 2 + 3n * 2) = 6(6n + 7) * 8 (10 + 6n) = 6(6n + 7) * 8 Reorder the terms: 10 + 6n = 6(7 + 6n) * 8 Reorder the terms for easier multiplication: 10 + 6n = 6 * 8(7 + 6n) Multiply 6 * 8 10 + 6n = 48(7 + 6n) 10 + 6n = (7 * 48 + 6n * 48) 10 + 6n = (336 + 288n) Solving 10 + 6n = 336 + 288n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-288n' to each side of the equation. 10 + 6n + -288n = 336 + 288n + -288n Combine like terms: 6n + -288n = -282n 10 + -282n = 336 + 288n + -288n Combine like terms: 288n + -288n = 0 10 + -282n = 336 + 0 10 + -282n = 336 Add '-10' to each side of the equation. 10 + -10 + -282n = 336 + -10 Combine like terms: 10 + -10 = 0 0 + -282n = 336 + -10 -282n = 336 + -10 Combine like terms: 336 + -10 = 326 -282n = 326 Divide each side by '-282'. n = -1.156028369 Simplifying n = -1.156028369
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