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Simplifying (2e + 4f + -6) + (3e + -7f) = 0 Reorder the terms: (-6 + 2e + 4f) + (3e + -7f) = 0 Remove parenthesis around (-6 + 2e + 4f) -6 + 2e + 4f + (3e + -7f) = 0 Remove parenthesis around (3e + -7f) -6 + 2e + 4f + 3e + -7f = 0 Reorder the terms: -6 + 2e + 3e + 4f + -7f = 0 Combine like terms: 2e + 3e = 5e -6 + 5e + 4f + -7f = 0 Combine like terms: 4f + -7f = -3f -6 + 5e + -3f = 0 Solving -6 + 5e + -3f = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5e + 6 + -3f = 0 + 6 Reorder the terms: -6 + 6 + 5e + -3f = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5e + -3f = 0 + 6 5e + -3f = 0 + 6 Combine like terms: 0 + 6 = 6 5e + -3f = 6 Add '3f' to each side of the equation. 5e + -3f + 3f = 6 + 3f Combine like terms: -3f + 3f = 0 5e + 0 = 6 + 3f 5e = 6 + 3f Divide each side by '5'. e = 1.2 + 0.6f Simplifying e = 1.2 + 0.6f
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