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Simplifying 3(a + 10) = 8a Reorder the terms: 3(10 + a) = 8a (10 * 3 + a * 3) = 8a (30 + 3a) = 8a Solving 30 + 3a = 8a 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. 30 + 3a + -8a = 8a + -8a Combine like terms: 3a + -8a = -5a 30 + -5a = 8a + -8a Combine like terms: 8a + -8a = 0 30 + -5a = 0 Add '-30' to each side of the equation. 30 + -30 + -5a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5a = 0 + -30 -5a = 0 + -30 Combine like terms: 0 + -30 = -30 -5a = -30 Divide each side by '-5'. a = 6 Simplifying a = 6
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