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Simplifying 6(a + 2) = 3(10 + -3a) Reorder the terms: 6(2 + a) = 3(10 + -3a) (2 * 6 + a * 6) = 3(10 + -3a) (12 + 6a) = 3(10 + -3a) 12 + 6a = (10 * 3 + -3a * 3) 12 + 6a = (30 + -9a) Solving 12 + 6a = 30 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 12 + 6a + 9a = 30 + -9a + 9a Combine like terms: 6a + 9a = 15a 12 + 15a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 12 + 15a = 30 + 0 12 + 15a = 30 Add '-12' to each side of the equation. 12 + -12 + 15a = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 15a = 30 + -12 15a = 30 + -12 Combine like terms: 30 + -12 = 18 15a = 18 Divide each side by '15'. a = 1.2 Simplifying a = 1.2
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