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Simplifying 8(4 + -1e) + 3(3e + -11) = 11 (4 * 8 + -1e * 8) + 3(3e + -11) = 11 (32 + -8e) + 3(3e + -11) = 11 Reorder the terms: 32 + -8e + 3(-11 + 3e) = 11 32 + -8e + (-11 * 3 + 3e * 3) = 11 32 + -8e + (-33 + 9e) = 11 Reorder the terms: 32 + -33 + -8e + 9e = 11 Combine like terms: 32 + -33 = -1 -1 + -8e + 9e = 11 Combine like terms: -8e + 9e = 1e -1 + 1e = 11 Solving -1 + 1e = 11 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1e = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 1e = 11 + 1 1e = 11 + 1 Combine like terms: 11 + 1 = 12 1e = 12 Divide each side by '1'. e = 12 Simplifying e = 12
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