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Simplifying 2(3a + -4) = 4(5 + -2a) Reorder the terms: 2(-4 + 3a) = 4(5 + -2a) (-4 * 2 + 3a * 2) = 4(5 + -2a) (-8 + 6a) = 4(5 + -2a) -8 + 6a = (5 * 4 + -2a * 4) -8 + 6a = (20 + -8a) Solving -8 + 6a = 20 + -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. -8 + 6a + 8a = 20 + -8a + 8a Combine like terms: 6a + 8a = 14a -8 + 14a = 20 + -8a + 8a Combine like terms: -8a + 8a = 0 -8 + 14a = 20 + 0 -8 + 14a = 20 Add '8' to each side of the equation. -8 + 8 + 14a = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 14a = 20 + 8 14a = 20 + 8 Combine like terms: 20 + 8 = 28 14a = 28 Divide each side by '14'. a = 2 Simplifying a = 2
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