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Simplifying 6(a + a) = 21 + -3(1 + -2a) Combine like terms: a + a = 2a 6(2a) = 21 + -3(1 + -2a) Remove parenthesis around (2a) 6 * 2a = 21 + -3(1 + -2a) Multiply 6 * 2 12a = 21 + -3(1 + -2a) 12a = 21 + (1 * -3 + -2a * -3) 12a = 21 + (-3 + 6a) Combine like terms: 21 + -3 = 18 12a = 18 + 6a Solving 12a = 18 + 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. 12a + -6a = 18 + 6a + -6a Combine like terms: 12a + -6a = 6a 6a = 18 + 6a + -6a Combine like terms: 6a + -6a = 0 6a = 18 + 0 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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