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Simplifying 0.5(e + -6) = 0.75(e + 6) Reorder the terms: 0.5(-6 + e) = 0.75(e + 6) (-6 * 0.5 + e * 0.5) = 0.75(e + 6) (-3 + 0.5e) = 0.75(e + 6) Reorder the terms: -3 + 0.5e = 0.75(6 + e) -3 + 0.5e = (6 * 0.75 + e * 0.75) -3 + 0.5e = (4.5 + 0.75e) Solving -3 + 0.5e = 4.5 + 0.75e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-0.75e' to each side of the equation. -3 + 0.5e + -0.75e = 4.5 + 0.75e + -0.75e Combine like terms: 0.5e + -0.75e = -0.25e -3 + -0.25e = 4.5 + 0.75e + -0.75e Combine like terms: 0.75e + -0.75e = 0.00 -3 + -0.25e = 4.5 + 0.00 -3 + -0.25e = 4.5 Add '3' to each side of the equation. -3 + 3 + -0.25e = 4.5 + 3 Combine like terms: -3 + 3 = 0 0 + -0.25e = 4.5 + 3 -0.25e = 4.5 + 3 Combine like terms: 4.5 + 3 = 7.5 -0.25e = 7.5 Divide each side by '-0.25'. e = -30 Simplifying e = -30
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