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Simplifying 5(2n + 5) = 8(an + 6) + 4 Reorder the terms: 5(5 + 2n) = 8(an + 6) + 4 (5 * 5 + 2n * 5) = 8(an + 6) + 4 (25 + 10n) = 8(an + 6) + 4 Reorder the terms: 25 + 10n = 8(6 + an) + 4 25 + 10n = (6 * 8 + an * 8) + 4 25 + 10n = (48 + 8an) + 4 Reorder the terms: 25 + 10n = 48 + 4 + 8an Combine like terms: 48 + 4 = 52 25 + 10n = 52 + 8an Solving 25 + 10n = 52 + 8an Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8an' to each side of the equation. 25 + -8an + 10n = 52 + 8an + -8an Combine like terms: 8an + -8an = 0 25 + -8an + 10n = 52 + 0 25 + -8an + 10n = 52 Add '-25' to each side of the equation. 25 + -8an + -25 + 10n = 52 + -25 Reorder the terms: 25 + -25 + -8an + 10n = 52 + -25 Combine like terms: 25 + -25 = 0 0 + -8an + 10n = 52 + -25 -8an + 10n = 52 + -25 Combine like terms: 52 + -25 = 27 -8an + 10n = 27 Reorder the terms: -27 + -8an + 10n = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -8an + 10n = 0 The solution to this equation could not be determined.
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