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Simplifying log(6)(x + 33) + -1(log(6)(x + -2)) = 2 Reorder the terms: glo * 6(33 + x) + -1(log(6)(x + -2)) = 2 Reorder the terms for easier multiplication: 6glo(33 + x) + -1(log(6)(x + -2)) = 2 (33 * 6glo + x * 6glo) + -1(log(6)(x + -2)) = 2 (198glo + 6glox) + -1(log(6)(x + -2)) = 2 Reorder the terms: 198glo + 6glox + -1(glo * 6(-2 + x)) = 2 Reorder the terms for easier multiplication: 198glo + 6glox + -1(6glo(-2 + x)) = 2 198glo + 6glox + -1((-2 * 6glo + x * 6glo)) = 2 198glo + 6glox + -1((-12glo + 6glox)) = 2 198glo + 6glox + (-12glo * -1 + 6glox * -1) = 2 198glo + 6glox + (12glo + -6glox) = 2 Reorder the terms: 198glo + 12glo + 6glox + -6glox = 2 Combine like terms: 198glo + 12glo = 210glo 210glo + 6glox + -6glox = 2 Combine like terms: 6glox + -6glox = 0 210glo + 0 = 2 210glo = 2 Solving 210glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '210lo'. g = 0.009523809524l-1o-1 Simplifying g = 0.009523809524l-1o-1
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