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Simplifying 6(e + 5) = 9e + 6 Reorder the terms: 6(5 + e) = 9e + 6 (5 * 6 + e * 6) = 9e + 6 (30 + 6e) = 9e + 6 Reorder the terms: 30 + 6e = 6 + 9e Solving 30 + 6e = 6 + 9e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-9e' to each side of the equation. 30 + 6e + -9e = 6 + 9e + -9e Combine like terms: 6e + -9e = -3e 30 + -3e = 6 + 9e + -9e Combine like terms: 9e + -9e = 0 30 + -3e = 6 + 0 30 + -3e = 6 Add '-30' to each side of the equation. 30 + -30 + -3e = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -3e = 6 + -30 -3e = 6 + -30 Combine like terms: 6 + -30 = -24 -3e = -24 Divide each side by '-3'. e = 8 Simplifying e = 8
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