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Simplifying 8(2n + -3) = (6n + 1) + 6 Reorder the terms: 8(-3 + 2n) = (6n + 1) + 6 (-3 * 8 + 2n * 8) = (6n + 1) + 6 (-24 + 16n) = (6n + 1) + 6 Reorder the terms: -24 + 16n = (1 + 6n) + 6 Remove parenthesis around (1 + 6n) -24 + 16n = 1 + 6n + 6 Reorder the terms: -24 + 16n = 1 + 6 + 6n Combine like terms: 1 + 6 = 7 -24 + 16n = 7 + 6n Solving -24 + 16n = 7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -24 + 16n + -6n = 7 + 6n + -6n Combine like terms: 16n + -6n = 10n -24 + 10n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -24 + 10n = 7 + 0 -24 + 10n = 7 Add '24' to each side of the equation. -24 + 24 + 10n = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 10n = 7 + 24 10n = 7 + 24 Combine like terms: 7 + 24 = 31 10n = 31 Divide each side by '10'. n = 3.1 Simplifying n = 3.1
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