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Simplifying 0.75(8 + e) = 2 + -1.25e (8 * 0.75 + e * 0.75) = 2 + -1.25e (6 + 0.75e) = 2 + -1.25e Solving 6 + 0.75e = 2 + -1.25e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1.25e' to each side of the equation. 6 + 0.75e + 1.25e = 2 + -1.25e + 1.25e Combine like terms: 0.75e + 1.25e = 2e 6 + 2e = 2 + -1.25e + 1.25e Combine like terms: -1.25e + 1.25e = 0.00 6 + 2e = 2 + 0.00 6 + 2e = 2 Add '-6' to each side of the equation. 6 + -6 + 2e = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2e = 2 + -6 2e = 2 + -6 Combine like terms: 2 + -6 = -4 2e = -4 Divide each side by '2'. e = -2 Simplifying e = -2
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