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Simplifying 103 = 5(2n + 7) + 8 Reorder the terms: 103 = 5(7 + 2n) + 8 103 = (7 * 5 + 2n * 5) + 8 103 = (35 + 10n) + 8 Reorder the terms: 103 = 35 + 8 + 10n Combine like terms: 35 + 8 = 43 103 = 43 + 10n Solving 103 = 43 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 103 + -10n = 43 + 10n + -10n Combine like terms: 10n + -10n = 0 103 + -10n = 43 + 0 103 + -10n = 43 Add '-103' to each side of the equation. 103 + -103 + -10n = 43 + -103 Combine like terms: 103 + -103 = 0 0 + -10n = 43 + -103 -10n = 43 + -103 Combine like terms: 43 + -103 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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