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Simplifying 2(2e + 3) + -2e + 5f + 2 + -2f = 0 Reorder the terms: 2(3 + 2e) + -2e + 5f + 2 + -2f = 0 (3 * 2 + 2e * 2) + -2e + 5f + 2 + -2f = 0 (6 + 4e) + -2e + 5f + 2 + -2f = 0 Reorder the terms: 6 + 2 + 4e + -2e + 5f + -2f = 0 Combine like terms: 6 + 2 = 8 8 + 4e + -2e + 5f + -2f = 0 Combine like terms: 4e + -2e = 2e 8 + 2e + 5f + -2f = 0 Combine like terms: 5f + -2f = 3f 8 + 2e + 3f = 0 Solving 8 + 2e + 3f = 0 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 + 2e + -8 + 3f = 0 + -8 Reorder the terms: 8 + -8 + 2e + 3f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2e + 3f = 0 + -8 2e + 3f = 0 + -8 Combine like terms: 0 + -8 = -8 2e + 3f = -8 Add '-3f' to each side of the equation. 2e + 3f + -3f = -8 + -3f Combine like terms: 3f + -3f = 0 2e + 0 = -8 + -3f 2e = -8 + -3f Divide each side by '2'. e = -4 + -1.5f Simplifying e = -4 + -1.5f
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