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Simplifying 12 + -5[3(a + 2) + -2a] = 0 Reorder the terms: 12 + -5[3(2 + a) + -2a] = 0 12 + -5[(2 * 3 + a * 3) + -2a] = 0 12 + -5[(6 + 3a) + -2a] = 0 Combine like terms: 3a + -2a = 1a 12 + -5[6 + 1a] = 0 12 + [6 * -5 + 1a * -5] = 0 12 + [-30 + -5a] = 0 Combine like terms: 12 + -30 = -18 -18 + -5a = 0 Solving -18 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5a = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5a = 0 + 18 -5a = 0 + 18 Combine like terms: 0 + 18 = 18 -5a = 18 Divide each side by '-5'. a = -3.6 Simplifying a = -3.6
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