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Simplifying 2a + -1[4a + 3(a + -5) + -6] = 0 Reorder the terms: 2a + -1[4a + 3(-5 + a) + -6] = 0 2a + -1[4a + (-5 * 3 + a * 3) + -6] = 0 2a + -1[4a + (-15 + 3a) + -6] = 0 Reorder the terms: 2a + -1[-15 + -6 + 4a + 3a] = 0 Combine like terms: -15 + -6 = -21 2a + -1[-21 + 4a + 3a] = 0 Combine like terms: 4a + 3a = 7a 2a + -1[-21 + 7a] = 0 2a + [-21 * -1 + 7a * -1] = 0 2a + [21 + -7a] = 0 Reorder the terms: 21 + 2a + -7a = 0 Combine like terms: 2a + -7a = -5a 21 + -5a = 0 Solving 21 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5a = 0 + -21 -5a = 0 + -21 Combine like terms: 0 + -21 = -21 -5a = -21 Divide each side by '-5'. a = 4.2 Simplifying a = 4.2
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