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Simplifying 103 = 8(3n + -2) + -3(4 + n) Reorder the terms: 103 = 8(-2 + 3n) + -3(4 + n) 103 = (-2 * 8 + 3n * 8) + -3(4 + n) 103 = (-16 + 24n) + -3(4 + n) 103 = -16 + 24n + (4 * -3 + n * -3) 103 = -16 + 24n + (-12 + -3n) Reorder the terms: 103 = -16 + -12 + 24n + -3n Combine like terms: -16 + -12 = -28 103 = -28 + 24n + -3n Combine like terms: 24n + -3n = 21n 103 = -28 + 21n Solving 103 = -28 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 103 + -21n = -28 + 21n + -21n Combine like terms: 21n + -21n = 0 103 + -21n = -28 + 0 103 + -21n = -28 Add '-103' to each side of the equation. 103 + -103 + -21n = -28 + -103 Combine like terms: 103 + -103 = 0 0 + -21n = -28 + -103 -21n = -28 + -103 Combine like terms: -28 + -103 = -131 -21n = -131 Divide each side by '-21'. n = 6.238095238 Simplifying n = 6.238095238
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