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Simplifying 6(a + 4) = 4(2a + 3) Reorder the terms: 6(4 + a) = 4(2a + 3) (4 * 6 + a * 6) = 4(2a + 3) (24 + 6a) = 4(2a + 3) Reorder the terms: 24 + 6a = 4(3 + 2a) 24 + 6a = (3 * 4 + 2a * 4) 24 + 6a = (12 + 8a) Solving 24 + 6a = 12 + 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 + 6a + -8a = 12 + 8a + -8a Combine like terms: 6a + -8a = -2a 24 + -2a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 24 + -2a = 12 + 0 24 + -2a = 12 Add '-24' to each side of the equation. 24 + -24 + -2a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 12 + -24 -2a = 12 + -24 Combine like terms: 12 + -24 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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