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Simplifying log[10] * a + log[10](a + 21) = 2 Reorder the terms for easier multiplication: 10glo * a + log[10](a + 21) = 2 Multiply glo * a 10aglo + log[10](a + 21) = 2 Reorder the terms: 10aglo + glo * 10(21 + a) = 2 Reorder the terms for easier multiplication: 10aglo + 10glo(21 + a) = 2 10aglo + (21 * 10glo + a * 10glo) = 2 Reorder the terms: 10aglo + (10aglo + 210glo) = 2 10aglo + (10aglo + 210glo) = 2 Combine like terms: 10aglo + 10aglo = 20aglo 20aglo + 210glo = 2 Solving 20aglo + 210glo = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-210glo' to each side of the equation. 20aglo + 210glo + -210glo = 2 + -210glo Combine like terms: 210glo + -210glo = 0 20aglo + 0 = 2 + -210glo 20aglo = 2 + -210glo Divide each side by '20glo'. a = 0.1g-1l-1o-1 + -10.5 Simplifying a = 0.1g-1l-1o-1 + -10.5 Reorder the terms: a = -10.5 + 0.1g-1l-1o-1
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