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Simplifying 7a + 4(3 + -3a) = 32 7a + (3 * 4 + -3a * 4) = 32 7a + (12 + -12a) = 32 Reorder the terms: 12 + 7a + -12a = 32 Combine like terms: 7a + -12a = -5a 12 + -5a = 32 Solving 12 + -5a = 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 + -5a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 32 + -12 -5a = 32 + -12 Combine like terms: 32 + -12 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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