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Simplifying 8 + -2[3(a + 4) + -2a] = 0 Reorder the terms: 8 + -2[3(4 + a) + -2a] = 0 8 + -2[(4 * 3 + a * 3) + -2a] = 0 8 + -2[(12 + 3a) + -2a] = 0 Combine like terms: 3a + -2a = 1a 8 + -2[12 + 1a] = 0 8 + [12 * -2 + 1a * -2] = 0 8 + [-24 + -2a] = 0 Combine like terms: 8 + -24 = -16 -16 + -2a = 0 Solving -16 + -2a = 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 + -2a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2a = 0 + 16 -2a = 0 + 16 Combine like terms: 0 + 16 = 16 -2a = 16 Divide each side by '-2'. a = -8 Simplifying a = -8
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