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Simplifying log[5](3 + -2a) = log[5] + -3a Reorder the terms for easier multiplication: 5glo(3 + -2a) = log[5] + -3a (3 * 5glo + -2a * 5glo) = log[5] + -3a Reorder the terms: (-10aglo + 15glo) = log[5] + -3a (-10aglo + 15glo) = log[5] + -3a Reorder the terms for easier multiplication: -10aglo + 15glo = 5glo + -3a Reorder the terms: -10aglo + 15glo = -3a + 5glo Solving -10aglo + 15glo = -3a + 5glo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -10aglo + 3a + 15glo = -3a + 3a + 5glo Reorder the terms: 3a + -10aglo + 15glo = -3a + 3a + 5glo Combine like terms: -3a + 3a = 0 3a + -10aglo + 15glo = 0 + 5glo 3a + -10aglo + 15glo = 5glo Add '-15glo' to each side of the equation. 3a + -10aglo + 15glo + -15glo = 5glo + -15glo Combine like terms: 15glo + -15glo = 0 3a + -10aglo + 0 = 5glo + -15glo 3a + -10aglo = 5glo + -15glo Combine like terms: 5glo + -15glo = -10glo 3a + -10aglo = -10glo Combine like terms: -10glo + 10glo = 0 3a + -10aglo + 10glo = 0 The solution to this equation could not be determined.
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