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Simplifying 4(a + 6) + -12 = 32 Reorder the terms: 4(6 + a) + -12 = 32 (6 * 4 + a * 4) + -12 = 32 (24 + 4a) + -12 = 32 Reorder the terms: 24 + -12 + 4a = 32 Combine like terms: 24 + -12 = 12 12 + 4a = 32 Solving 12 + 4a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 32 + -12 4a = 32 + -12 Combine like terms: 32 + -12 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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