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Simplifying 5(3a + 2) = 12a + 11 Reorder the terms: 5(2 + 3a) = 12a + 11 (2 * 5 + 3a * 5) = 12a + 11 (10 + 15a) = 12a + 11 Reorder the terms: 10 + 15a = 11 + 12a Solving 10 + 15a = 11 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10 + 15a + -12a = 11 + 12a + -12a Combine like terms: 15a + -12a = 3a 10 + 3a = 11 + 12a + -12a Combine like terms: 12a + -12a = 0 10 + 3a = 11 + 0 10 + 3a = 11 Add '-10' to each side of the equation. 10 + -10 + 3a = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 11 + -10 3a = 11 + -10 Combine like terms: 11 + -10 = 1 3a = 1 Divide each side by '3'. a = 0.3333333333 Simplifying a = 0.3333333333
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