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Simplifying 6(3 + a) = 21 + -3(2a + -1) (3 * 6 + a * 6) = 21 + -3(2a + -1) (18 + 6a) = 21 + -3(2a + -1) Reorder the terms: 18 + 6a = 21 + -3(-1 + 2a) 18 + 6a = 21 + (-1 * -3 + 2a * -3) 18 + 6a = 21 + (3 + -6a) Combine like terms: 21 + 3 = 24 18 + 6a = 24 + -6a Solving 18 + 6a = 24 + -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. 18 + 6a + 6a = 24 + -6a + 6a Combine like terms: 6a + 6a = 12a 18 + 12a = 24 + -6a + 6a Combine like terms: -6a + 6a = 0 18 + 12a = 24 + 0 18 + 12a = 24 Add '-18' to each side of the equation. 18 + -18 + 12a = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 12a = 24 + -18 12a = 24 + -18 Combine like terms: 24 + -18 = 6 12a = 6 Divide each side by '12'. a = 0.5 Simplifying a = 0.5
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