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Simplifying 6ln(7a + 8) + 1 = 19 Reorder the terms: 6ln(8 + 7a) + 1 = 19 (8 * 6ln + 7a * 6ln) + 1 = 19 Reorder the terms: (42aln + 48ln) + 1 = 19 (42aln + 48ln) + 1 = 19 Reorder the terms: 1 + 42aln + 48ln = 19 Solving 1 + 42aln + 48ln = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 42aln + -1 + 48ln = 19 + -1 Reorder the terms: 1 + -1 + 42aln + 48ln = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 42aln + 48ln = 19 + -1 42aln + 48ln = 19 + -1 Combine like terms: 19 + -1 = 18 42aln + 48ln = 18 Add '-48ln' to each side of the equation. 42aln + 48ln + -48ln = 18 + -48ln Combine like terms: 48ln + -48ln = 0 42aln + 0 = 18 + -48ln 42aln = 18 + -48ln Divide each side by '42ln'. a = 0.4285714286l-1n-1 + -1.142857143 Simplifying a = 0.4285714286l-1n-1 + -1.142857143 Reorder the terms: a = -1.142857143 + 0.4285714286l-1n-1
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