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Simplifying log(-2a + 9) = log(7 + -4a) Reorder the terms: glo(9 + -2a) = log(7 + -4a) (9 * glo + -2a * glo) = log(7 + -4a) Reorder the terms: (-2aglo + 9glo) = log(7 + -4a) (-2aglo + 9glo) = log(7 + -4a) -2aglo + 9glo = (7 * glo + -4a * glo) Reorder the terms: -2aglo + 9glo = (-4aglo + 7glo) -2aglo + 9glo = (-4aglo + 7glo) Solving -2aglo + 9glo = -4aglo + 7glo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4aglo' to each side of the equation. -2aglo + 4aglo + 9glo = -4aglo + 4aglo + 7glo Combine like terms: -2aglo + 4aglo = 2aglo 2aglo + 9glo = -4aglo + 4aglo + 7glo Combine like terms: -4aglo + 4aglo = 0 2aglo + 9glo = 0 + 7glo 2aglo + 9glo = 7glo Add '-9glo' to each side of the equation. 2aglo + 9glo + -9glo = 7glo + -9glo Combine like terms: 9glo + -9glo = 0 2aglo + 0 = 7glo + -9glo 2aglo = 7glo + -9glo Combine like terms: 7glo + -9glo = -2glo 2aglo = -2glo Divide each side by '2glo'. a = -1 Simplifying a = -1
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