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Simplifying 0.5(e + -6) = 0.25(e + 8) Reorder the terms: 0.5(-6 + e) = 0.25(e + 8) (-6 * 0.5 + e * 0.5) = 0.25(e + 8) (-3 + 0.5e) = 0.25(e + 8) Reorder the terms: -3 + 0.5e = 0.25(8 + e) -3 + 0.5e = (8 * 0.25 + e * 0.25) -3 + 0.5e = (2 + 0.25e) Solving -3 + 0.5e = 2 + 0.25e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-0.25e' to each side of the equation. -3 + 0.5e + -0.25e = 2 + 0.25e + -0.25e Combine like terms: 0.5e + -0.25e = 0.25e -3 + 0.25e = 2 + 0.25e + -0.25e Combine like terms: 0.25e + -0.25e = 0.00 -3 + 0.25e = 2 + 0.00 -3 + 0.25e = 2 Add '3' to each side of the equation. -3 + 3 + 0.25e = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.25e = 2 + 3 0.25e = 2 + 3 Combine like terms: 2 + 3 = 5 0.25e = 5 Divide each side by '0.25'. e = 20 Simplifying e = 20
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