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Simplifying 3(5a + 6) = 10 Reorder the terms: 3(6 + 5a) = 10 (6 * 3 + 5a * 3) = 10 (18 + 15a) = 10 Solving 18 + 15a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 15a = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 15a = 10 + -18 15a = 10 + -18 Combine like terms: 10 + -18 = -8 15a = -8 Divide each side by '15'. a = -0.5333333333 Simplifying a = -0.5333333333
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