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Simplifying 2(1 + 3a) + 1 = 21 + 3a (1 * 2 + 3a * 2) + 1 = 21 + 3a (2 + 6a) + 1 = 21 + 3a Reorder the terms: 2 + 1 + 6a = 21 + 3a Combine like terms: 2 + 1 = 3 3 + 6a = 21 + 3a Solving 3 + 6a = 21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 3 + 6a + -3a = 21 + 3a + -3a Combine like terms: 6a + -3a = 3a 3 + 3a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + 3a = 21 + 0 3 + 3a = 21 Add '-3' to each side of the equation. 3 + -3 + 3a = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3a = 21 + -3 3a = 21 + -3 Combine like terms: 21 + -3 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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