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Simplifying 10(3a + 8) = 3(2a + 7) Reorder the terms: 10(8 + 3a) = 3(2a + 7) (8 * 10 + 3a * 10) = 3(2a + 7) (80 + 30a) = 3(2a + 7) Reorder the terms: 80 + 30a = 3(7 + 2a) 80 + 30a = (7 * 3 + 2a * 3) 80 + 30a = (21 + 6a) Solving 80 + 30a = 21 + 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. 80 + 30a + -6a = 21 + 6a + -6a Combine like terms: 30a + -6a = 24a 80 + 24a = 21 + 6a + -6a Combine like terms: 6a + -6a = 0 80 + 24a = 21 + 0 80 + 24a = 21 Add '-80' to each side of the equation. 80 + -80 + 24a = 21 + -80 Combine like terms: 80 + -80 = 0 0 + 24a = 21 + -80 24a = 21 + -80 Combine like terms: 21 + -80 = -59 24a = -59 Divide each side by '24'. a = -2.458333333 Simplifying a = -2.458333333
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