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Simplifying 8e + 3(n + -5) = 30 Reorder the terms: 8e + 3(-5 + n) = 30 8e + (-5 * 3 + n * 3) = 30 8e + (-15 + 3n) = 30 Reorder the terms: -15 + 8e + 3n = 30 Solving -15 + 8e + 3n = 30 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 8e + 15 + 3n = 30 + 15 Reorder the terms: -15 + 15 + 8e + 3n = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 8e + 3n = 30 + 15 8e + 3n = 30 + 15 Combine like terms: 30 + 15 = 45 8e + 3n = 45 Add '-3n' to each side of the equation. 8e + 3n + -3n = 45 + -3n Combine like terms: 3n + -3n = 0 8e + 0 = 45 + -3n 8e = 45 + -3n Divide each side by '8'. e = 5.625 + -0.375n Simplifying e = 5.625 + -0.375n
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