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