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Simplifying 5(3n + 1) = 8(6n + 6) + 6 Reorder the terms: 5(1 + 3n) = 8(6n + 6) + 6 (1 * 5 + 3n * 5) = 8(6n + 6) + 6 (5 + 15n) = 8(6n + 6) + 6 Reorder the terms: 5 + 15n = 8(6 + 6n) + 6 5 + 15n = (6 * 8 + 6n * 8) + 6 5 + 15n = (48 + 48n) + 6 Reorder the terms: 5 + 15n = 48 + 6 + 48n Combine like terms: 48 + 6 = 54 5 + 15n = 54 + 48n Solving 5 + 15n = 54 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 5 + 15n + -48n = 54 + 48n + -48n Combine like terms: 15n + -48n = -33n 5 + -33n = 54 + 48n + -48n Combine like terms: 48n + -48n = 0 5 + -33n = 54 + 0 5 + -33n = 54 Add '-5' to each side of the equation. 5 + -5 + -33n = 54 + -5 Combine like terms: 5 + -5 = 0 0 + -33n = 54 + -5 -33n = 54 + -5 Combine like terms: 54 + -5 = 49 -33n = 49 Divide each side by '-33'. n = -1.484848485 Simplifying n = -1.484848485
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