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Simplifying 3(2a + -4) = 2(2a + 2) Reorder the terms: 3(-4 + 2a) = 2(2a + 2) (-4 * 3 + 2a * 3) = 2(2a + 2) (-12 + 6a) = 2(2a + 2) Reorder the terms: -12 + 6a = 2(2 + 2a) -12 + 6a = (2 * 2 + 2a * 2) -12 + 6a = (4 + 4a) Solving -12 + 6a = 4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -12 + 6a + -4a = 4 + 4a + -4a Combine like terms: 6a + -4a = 2a -12 + 2a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + 2a = 4 + 0 -12 + 2a = 4 Add '12' to each side of the equation. -12 + 12 + 2a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 4 + 12 2a = 4 + 12 Combine like terms: 4 + 12 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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