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Simplifying 3(2a + 4) = 2(a + 3) Reorder the terms: 3(4 + 2a) = 2(a + 3) (4 * 3 + 2a * 3) = 2(a + 3) (12 + 6a) = 2(a + 3) Reorder the terms: 12 + 6a = 2(3 + a) 12 + 6a = (3 * 2 + a * 2) 12 + 6a = (6 + 2a) Solving 12 + 6a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + 6a + -2a = 6 + 2a + -2a Combine like terms: 6a + -2a = 4a 12 + 4a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 4a = 6 + 0 12 + 4a = 6 Add '-12' to each side of the equation. 12 + -12 + 4a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 6 + -12 4a = 6 + -12 Combine like terms: 6 + -12 = -6 4a = -6 Divide each side by '4'. a = -1.5 Simplifying a = -1.5
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