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Simplifying 12 + -5[a + 3 + -3a] = 0 Reorder the terms: 12 + -5[3 + a + -3a] = 0 Combine like terms: a + -3a = -2a 12 + -5[3 + -2a] = 0 12 + [3 * -5 + -2a * -5] = 0 12 + [-15 + 10a] = 0 Combine like terms: 12 + -15 = -3 -3 + 10a = 0 Solving -3 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10a = 0 + 3 10a = 0 + 3 Combine like terms: 0 + 3 = 3 10a = 3 Divide each side by '10'. a = 0.3 Simplifying a = 0.3
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