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Simplifying 3(5a + 2b) = 8a + 5b (5a * 3 + 2b * 3) = 8a + 5b (15a + 6b) = 8a + 5b Solving 15a + 6b = 8a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 15a + -8a + 6b = 8a + -8a + 5b Combine like terms: 15a + -8a = 7a 7a + 6b = 8a + -8a + 5b Combine like terms: 8a + -8a = 0 7a + 6b = 0 + 5b 7a + 6b = 5b Add '-6b' to each side of the equation. 7a + 6b + -6b = 5b + -6b Combine like terms: 6b + -6b = 0 7a + 0 = 5b + -6b 7a = 5b + -6b Combine like terms: 5b + -6b = -1b 7a = -1b Divide each side by '7'. a = -0.1428571429b Simplifying a = -0.1428571429b
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