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Simplifying 8 + -5[4(a + 3) + -3a] = 0 Reorder the terms: 8 + -5[4(3 + a) + -3a] = 0 8 + -5[(3 * 4 + a * 4) + -3a] = 0 8 + -5[(12 + 4a) + -3a] = 0 Combine like terms: 4a + -3a = 1a 8 + -5[12 + 1a] = 0 8 + [12 * -5 + 1a * -5] = 0 8 + [-60 + -5a] = 0 Combine like terms: 8 + -60 = -52 -52 + -5a = 0 Solving -52 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -5a = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -5a = 0 + 52 -5a = 0 + 52 Combine like terms: 0 + 52 = 52 -5a = 52 Divide each side by '-5'. a = -10.4 Simplifying a = -10.4
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