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Simplifying 4(2a + 6) + 12 + 10a = 0 Reorder the terms: 4(6 + 2a) + 12 + 10a = 0 (6 * 4 + 2a * 4) + 12 + 10a = 0 (24 + 8a) + 12 + 10a = 0 Reorder the terms: 24 + 12 + 8a + 10a = 0 Combine like terms: 24 + 12 = 36 36 + 8a + 10a = 0 Combine like terms: 8a + 10a = 18a 36 + 18a = 0 Solving 36 + 18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 18a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18a = 0 + -36 18a = 0 + -36 Combine like terms: 0 + -36 = -36 18a = -36 Divide each side by '18'. a = -2 Simplifying a = -2
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