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Simplifying 8 + -4[3(a + 2) + -2a] = 0 Reorder the terms: 8 + -4[3(2 + a) + -2a] = 0 8 + -4[(2 * 3 + a * 3) + -2a] = 0 8 + -4[(6 + 3a) + -2a] = 0 Combine like terms: 3a + -2a = 1a 8 + -4[6 + 1a] = 0 8 + [6 * -4 + 1a * -4] = 0 8 + [-24 + -4a] = 0 Combine like terms: 8 + -24 = -16 -16 + -4a = 0 Solving -16 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4a = 0 + 16 -4a = 0 + 16 Combine like terms: 0 + 16 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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