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Simplifying 4(3a + -6) = 2(4a + 8) Reorder the terms: 4(-6 + 3a) = 2(4a + 8) (-6 * 4 + 3a * 4) = 2(4a + 8) (-24 + 12a) = 2(4a + 8) Reorder the terms: -24 + 12a = 2(8 + 4a) -24 + 12a = (8 * 2 + 4a * 2) -24 + 12a = (16 + 8a) Solving -24 + 12a = 16 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -24 + 12a + -8a = 16 + 8a + -8a Combine like terms: 12a + -8a = 4a -24 + 4a = 16 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + 4a = 16 + 0 -24 + 4a = 16 Add '24' to each side of the equation. -24 + 24 + 4a = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4a = 16 + 24 4a = 16 + 24 Combine like terms: 16 + 24 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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