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Simplifying 12 + -3[4(a + 2) + -3a] = 0 Reorder the terms: 12 + -3[4(2 + a) + -3a] = 0 12 + -3[(2 * 4 + a * 4) + -3a] = 0 12 + -3[(8 + 4a) + -3a] = 0 Combine like terms: 4a + -3a = 1a 12 + -3[8 + 1a] = 0 12 + [8 * -3 + 1a * -3] = 0 12 + [-24 + -3a] = 0 Combine like terms: 12 + -24 = -12 -12 + -3a = 0 Solving -12 + -3a = 0 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 + -3a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = 0 + 12 -3a = 0 + 12 Combine like terms: 0 + 12 = 12 -3a = 12 Divide each side by '-3'. a = -4 Simplifying a = -4
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