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Simplifying 9(7e + -4f) + -0.6(e + sf) = 0 (7e * 9 + -4f * 9) + -0.6(e + sf) = 0 (63e + -36f) + -0.6(e + sf) = 0 63e + -36f + (e * -0.6 + fs * -0.6) = 0 63e + -36f + (-0.6e + -0.6fs) = 0 Reorder the terms: 63e + -0.6e + -36f + -0.6fs = 0 Combine like terms: 63e + -0.6e = 62.4e 62.4e + -36f + -0.6fs = 0 Solving 62.4e + -36f + -0.6fs = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '36f' to each side of the equation. 62.4e + -36f + 36f + -0.6fs = 0 + 36f Combine like terms: -36f + 36f = 0 62.4e + 0 + -0.6fs = 0 + 36f 62.4e + -0.6fs = 0 + 36f Remove the zero: 62.4e + -0.6fs = 36f Add '0.6fs' to each side of the equation. 62.4e + -0.6fs + 0.6fs = 36f + 0.6fs Combine like terms: -0.6fs + 0.6fs = 0.0 62.4e + 0.0 = 36f + 0.6fs 62.4e = 36f + 0.6fs Divide each side by '62.4'. e = 0.5769230769f + 0.009615384615fs Simplifying e = 0.5769230769f + 0.009615384615fs
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