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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 = -36 -3e = -36 Divide each side by '-3'. e = 12 Simplifying e = 12
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