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Simplifying 2(4a + -12) + 3a = 6a Reorder the terms: 2(-12 + 4a) + 3a = 6a (-12 * 2 + 4a * 2) + 3a = 6a (-24 + 8a) + 3a = 6a Combine like terms: 8a + 3a = 11a -24 + 11a = 6a Solving -24 + 11a = 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. -24 + 11a + -6a = 6a + -6a Combine like terms: 11a + -6a = 5a -24 + 5a = 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 5a = 0 Add '24' to each side of the equation. -24 + 24 + 5a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = 0 + 24 5a = 0 + 24 Combine like terms: 0 + 24 = 24 5a = 24 Divide each side by '5'. a = 4.8 Simplifying a = 4.8
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