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Simplifying log(-2a + 9) = (7 + -4a) Reorder the terms: glo(9 + -2a) = (7 + -4a) (9 * glo + -2a * glo) = (7 + -4a) Reorder the terms: (-2aglo + 9glo) = (7 + -4a) (-2aglo + 9glo) = (7 + -4a) Remove parenthesis around (7 + -4a) -2aglo + 9glo = 7 + -4a Solving -2aglo + 9glo = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -2aglo + 4a + 9glo = 7 + -4a + 4a Reorder the terms: 4a + -2aglo + 9glo = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 4a + -2aglo + 9glo = 7 + 0 4a + -2aglo + 9glo = 7 Add '-9glo' to each side of the equation. 4a + -2aglo + 9glo + -9glo = 7 + -9glo Combine like terms: 9glo + -9glo = 0 4a + -2aglo + 0 = 7 + -9glo 4a + -2aglo = 7 + -9glo Reorder the terms: -7 + 4a + -2aglo + 9glo = 7 + -9glo + -7 + 9glo Reorder the terms: -7 + 4a + -2aglo + 9glo = 7 + -7 + -9glo + 9glo Combine like terms: 7 + -7 = 0 -7 + 4a + -2aglo + 9glo = 0 + -9glo + 9glo -7 + 4a + -2aglo + 9glo = -9glo + 9glo Combine like terms: -9glo + 9glo = 0 -7 + 4a + -2aglo + 9glo = 0 The solution to this equation could not be determined.
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