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Simplifying 9(7e + -4f) + -0.6(e + 5f) = 0 (7e * 9 + -4f * 9) + -0.6(e + 5f) = 0 (63e + -36f) + -0.6(e + 5f) = 0 63e + -36f + (e * -0.6 + 5f * -0.6) = 0 63e + -36f + (-0.6e + -3f) = 0 Reorder the terms: 63e + -0.6e + -36f + -3f = 0 Combine like terms: 63e + -0.6e = 62.4e 62.4e + -36f + -3f = 0 Combine like terms: -36f + -3f = -39f 62.4e + -39f = 0 Solving 62.4e + -39f = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '39f' to each side of the equation. 62.4e + -39f + 39f = 0 + 39f Combine like terms: -39f + 39f = 0 62.4e + 0 = 0 + 39f 62.4e = 0 + 39f Remove the zero: 62.4e = 39f Divide each side by '62.4'. e = 0.625f Simplifying e = 0.625f
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