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Simplifying log(9)(2 + -2a) = log(9)(5a + 9) Reorder the terms for easier multiplication: 9glo(2 + -2a) = log(9)(5a + 9) (2 * 9glo + -2a * 9glo) = log(9)(5a + 9) Reorder the terms: (-18aglo + 18glo) = log(9)(5a + 9) (-18aglo + 18glo) = log(9)(5a + 9) Reorder the terms: -18aglo + 18glo = glo * 9(9 + 5a) Reorder the terms for easier multiplication: -18aglo + 18glo = 9glo(9 + 5a) -18aglo + 18glo = (9 * 9glo + 5a * 9glo) Reorder the terms: -18aglo + 18glo = (45aglo + 81glo) -18aglo + 18glo = (45aglo + 81glo) Solving -18aglo + 18glo = 45aglo + 81glo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45aglo' to each side of the equation. -18aglo + -45aglo + 18glo = 45aglo + -45aglo + 81glo Combine like terms: -18aglo + -45aglo = -63aglo -63aglo + 18glo = 45aglo + -45aglo + 81glo Combine like terms: 45aglo + -45aglo = 0 -63aglo + 18glo = 0 + 81glo -63aglo + 18glo = 81glo Add '-18glo' to each side of the equation. -63aglo + 18glo + -18glo = 81glo + -18glo Combine like terms: 18glo + -18glo = 0 -63aglo + 0 = 81glo + -18glo -63aglo = 81glo + -18glo Combine like terms: 81glo + -18glo = 63glo -63aglo = 63glo Divide each side by '-63glo'. a = -1 Simplifying a = -1
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