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Simplifying 8a + 15 + -1a = 85 + -5a + -1a Reorder the terms: 15 + 8a + -1a = 85 + -5a + -1a Combine like terms: 8a + -1a = 7a 15 + 7a = 85 + -5a + -1a Combine like terms: -5a + -1a = -6a 15 + 7a = 85 + -6a Solving 15 + 7a = 85 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 15 + 7a + 6a = 85 + -6a + 6a Combine like terms: 7a + 6a = 13a 15 + 13a = 85 + -6a + 6a Combine like terms: -6a + 6a = 0 15 + 13a = 85 + 0 15 + 13a = 85 Add '-15' to each side of the equation. 15 + -15 + 13a = 85 + -15 Combine like terms: 15 + -15 = 0 0 + 13a = 85 + -15 13a = 85 + -15 Combine like terms: 85 + -15 = 70 13a = 70 Divide each side by '13'. a = 5.384615385 Simplifying a = 5.384615385
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