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Simplifying 9 + -4[3(a + 2) + -2a] = 0 Reorder the terms: 9 + -4[3(2 + a) + -2a] = 0 9 + -4[(2 * 3 + a * 3) + -2a] = 0 9 + -4[(6 + 3a) + -2a] = 0 Combine like terms: 3a + -2a = 1a 9 + -4[6 + 1a] = 0 9 + [6 * -4 + 1a * -4] = 0 9 + [-24 + -4a] = 0 Combine like terms: 9 + -24 = -15 -15 + -4a = 0 Solving -15 + -4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4a = 0 + 15 -4a = 0 + 15 Combine like terms: 0 + 15 = 15 -4a = 15 Divide each side by '-4'. a = -3.75 Simplifying a = -3.75
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