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Simplifying 0.75e + -8 = 0.25(5q + 8) + -0.50q Reorder the terms: -8 + 0.75e = 0.25(5q + 8) + -0.50q Reorder the terms: -8 + 0.75e = 0.25(8 + 5q) + -0.50q -8 + 0.75e = (8 * 0.25 + 5q * 0.25) + -0.50q -8 + 0.75e = (2 + 1.25q) + -0.50q Combine like terms: 1.25q + -0.50q = 0.75q -8 + 0.75e = 2 + 0.75q Solving -8 + 0.75e = 2 + 0.75q Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 0.75e = 2 + 8 + 0.75q Combine like terms: -8 + 8 = 0 0 + 0.75e = 2 + 8 + 0.75q 0.75e = 2 + 8 + 0.75q Combine like terms: 2 + 8 = 10 0.75e = 10 + 0.75q Divide each side by '0.75'. e = 13.33333333 + q Simplifying e = 13.33333333 + q
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