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Simplifying 5(4a + 1) = 2a + 3 Reorder the terms: 5(1 + 4a) = 2a + 3 (1 * 5 + 4a * 5) = 2a + 3 (5 + 20a) = 2a + 3 Reorder the terms: 5 + 20a = 3 + 2a Solving 5 + 20a = 3 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 20a + -2a = 3 + 2a + -2a Combine like terms: 20a + -2a = 18a 5 + 18a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 18a = 3 + 0 5 + 18a = 3 Add '-5' to each side of the equation. 5 + -5 + 18a = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 18a = 3 + -5 18a = 3 + -5 Combine like terms: 3 + -5 = -2 18a = -2 Divide each side by '18'. a = -0.1111111111 Simplifying a = -0.1111111111
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