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Simplifying 2(4 + -2e) + -5 = -2(e + 5) + 8r (4 * 2 + -2e * 2) + -5 = -2(e + 5) + 8r (8 + -4e) + -5 = -2(e + 5) + 8r Reorder the terms: 8 + -5 + -4e = -2(e + 5) + 8r Combine like terms: 8 + -5 = 3 3 + -4e = -2(e + 5) + 8r Reorder the terms: 3 + -4e = -2(5 + e) + 8r 3 + -4e = (5 * -2 + e * -2) + 8r 3 + -4e = (-10 + -2e) + 8r Solving 3 + -4e = -10 + -2e + 8r Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. 3 + -4e + 2e = -10 + -2e + 2e + 8r Combine like terms: -4e + 2e = -2e 3 + -2e = -10 + -2e + 2e + 8r Combine like terms: -2e + 2e = 0 3 + -2e = -10 + 0 + 8r 3 + -2e = -10 + 8r Add '-3' to each side of the equation. 3 + -3 + -2e = -10 + -3 + 8r Combine like terms: 3 + -3 = 0 0 + -2e = -10 + -3 + 8r -2e = -10 + -3 + 8r Combine like terms: -10 + -3 = -13 -2e = -13 + 8r Divide each side by '-2'. e = 6.5 + -4r Simplifying e = 6.5 + -4r
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