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Simplifying 2(a + -5) + 6 = 12 Reorder the terms: 2(-5 + a) + 6 = 12 (-5 * 2 + a * 2) + 6 = 12 (-10 + 2a) + 6 = 12 Reorder the terms: -10 + 6 + 2a = 12 Combine like terms: -10 + 6 = -4 -4 + 2a = 12 Solving -4 + 2a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 12 + 4 2a = 12 + 4 Combine like terms: 12 + 4 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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