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Simplifying 8[e + -5] = 2[3e + -8] Reorder the terms: 8[-5 + e] = 2[3e + -8] [-5 * 8 + e * 8] = 2[3e + -8] [-40 + 8e] = 2[3e + -8] Reorder the terms: -40 + 8e = 2[-8 + 3e] -40 + 8e = [-8 * 2 + 3e * 2] -40 + 8e = [-16 + 6e] Solving -40 + 8e = -16 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. -40 + 8e + -6e = -16 + 6e + -6e Combine like terms: 8e + -6e = 2e -40 + 2e = -16 + 6e + -6e Combine like terms: 6e + -6e = 0 -40 + 2e = -16 + 0 -40 + 2e = -16 Add '40' to each side of the equation. -40 + 40 + 2e = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 2e = -16 + 40 2e = -16 + 40 Combine like terms: -16 + 40 = 24 2e = 24 Divide each side by '2'. e = 12 Simplifying e = 12
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