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Simplifying 5(3a + 1) = 2(2a + 1) Reorder the terms: 5(1 + 3a) = 2(2a + 1) (1 * 5 + 3a * 5) = 2(2a + 1) (5 + 15a) = 2(2a + 1) Reorder the terms: 5 + 15a = 2(1 + 2a) 5 + 15a = (1 * 2 + 2a * 2) 5 + 15a = (2 + 4a) Solving 5 + 15a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + 15a + -4a = 2 + 4a + -4a Combine like terms: 15a + -4a = 11a 5 + 11a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + 11a = 2 + 0 5 + 11a = 2 Add '-5' to each side of the equation. 5 + -5 + 11a = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 11a = 2 + -5 11a = 2 + -5 Combine like terms: 2 + -5 = -3 11a = -3 Divide each side by '11'. a = -0.2727272727 Simplifying a = -0.2727272727
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