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Simplifying lg(7b) + lg(8a) = 0 Remove parenthesis around (7b) gl * 7b + lg(8a) = 0 Reorder the terms for easier multiplication: 7gl * b + lg(8a) = 0 Multiply gl * b 7bgl + lg(8a) = 0 Remove parenthesis around (8a) 7bgl + gl * 8a = 0 Reorder the terms for easier multiplication: 7bgl + 8gl * a = 0 Multiply gl * a 7bgl + 8agl = 0 Reorder the terms: 8agl + 7bgl = 0 Solving 8agl + 7bgl = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7bgl' to each side of the equation. 8agl + 7bgl + -7bgl = 0 + -7bgl Combine like terms: 7bgl + -7bgl = 0 8agl + 0 = 0 + -7bgl 8agl = 0 + -7bgl Remove the zero: 8agl = -7bgl Divide each side by '8gl'. a = -0.875b Simplifying a = -0.875b
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