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Simplifying 6(a + 4) = 2(a + 2) Reorder the terms: 6(4 + a) = 2(a + 2) (4 * 6 + a * 6) = 2(a + 2) (24 + 6a) = 2(a + 2) Reorder the terms: 24 + 6a = 2(2 + a) 24 + 6a = (2 * 2 + a * 2) 24 + 6a = (4 + 2a) Solving 24 + 6a = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 24 + 6a + -2a = 4 + 2a + -2a Combine like terms: 6a + -2a = 4a 24 + 4a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + 4a = 4 + 0 24 + 4a = 4 Add '-24' to each side of the equation. 24 + -24 + 4a = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4a = 4 + -24 4a = 4 + -24 Combine like terms: 4 + -24 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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