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Simplifying 8(2n + 1) = 7(4n + 8) + 6 Reorder the terms: 8(1 + 2n) = 7(4n + 8) + 6 (1 * 8 + 2n * 8) = 7(4n + 8) + 6 (8 + 16n) = 7(4n + 8) + 6 Reorder the terms: 8 + 16n = 7(8 + 4n) + 6 8 + 16n = (8 * 7 + 4n * 7) + 6 8 + 16n = (56 + 28n) + 6 Reorder the terms: 8 + 16n = 56 + 6 + 28n Combine like terms: 56 + 6 = 62 8 + 16n = 62 + 28n Solving 8 + 16n = 62 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 8 + 16n + -28n = 62 + 28n + -28n Combine like terms: 16n + -28n = -12n 8 + -12n = 62 + 28n + -28n Combine like terms: 28n + -28n = 0 8 + -12n = 62 + 0 8 + -12n = 62 Add '-8' to each side of the equation. 8 + -8 + -12n = 62 + -8 Combine like terms: 8 + -8 = 0 0 + -12n = 62 + -8 -12n = 62 + -8 Combine like terms: 62 + -8 = 54 -12n = 54 Divide each side by '-12'. n = -4.5 Simplifying n = -4.5
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