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Simplifying 3(a + 1) = 21 + -6a Reorder the terms: 3(1 + a) = 21 + -6a (1 * 3 + a * 3) = 21 + -6a (3 + 3a) = 21 + -6a Solving 3 + 3a = 21 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + 3a + 6a = 21 + -6a + 6a Combine like terms: 3a + 6a = 9a 3 + 9a = 21 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 9a = 21 + 0 3 + 9a = 21 Add '-3' to each side of the equation. 3 + -3 + 9a = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9a = 21 + -3 9a = 21 + -3 Combine like terms: 21 + -3 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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