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Simplifying 6(3a + -4) = 4(1 + a) Reorder the terms: 6(-4 + 3a) = 4(1 + a) (-4 * 6 + 3a * 6) = 4(1 + a) (-24 + 18a) = 4(1 + a) -24 + 18a = (1 * 4 + a * 4) -24 + 18a = (4 + 4a) Solving -24 + 18a = 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. -24 + 18a + -4a = 4 + 4a + -4a Combine like terms: 18a + -4a = 14a -24 + 14a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + 14a = 4 + 0 -24 + 14a = 4 Add '24' to each side of the equation. -24 + 24 + 14a = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14a = 4 + 24 14a = 4 + 24 Combine like terms: 4 + 24 = 28 14a = 28 Divide each side by '14'. a = 2 Simplifying a = 2
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