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Simplifying Log(-2a + 9) = log(2x + 9) Reorder the terms: goL(9 + -2a) = log(2x + 9) (9 * goL + -2a * goL) = log(2x + 9) Reorder the terms: (-2agoL + 9goL) = log(2x + 9) (-2agoL + 9goL) = log(2x + 9) Reorder the terms: -2agoL + 9goL = glo(9 + 2x) -2agoL + 9goL = (9 * glo + 2x * glo) -2agoL + 9goL = (9glo + 2glox) Solving -2agoL + 9goL = 9glo + 2glox Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9goL' to each side of the equation. -2agoL + 9goL + -9goL = 9glo + 2glox + -9goL Combine like terms: 9goL + -9goL = 0 -2agoL + 0 = 9glo + 2glox + -9goL -2agoL = 9glo + 2glox + -9goL Divide each side by '-2goL'. a = -4.5lL-1 + -1lxL-1 + 4.5 Simplifying a = -4.5lL-1 + -1lxL-1 + 4.5 Reorder the terms: a = 4.5 + -4.5lL-1 + -1lxL-1
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