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Simplifying 6a + -1[4(a + -4) + 4a + 6] = 0 Reorder the terms: 6a + -1[4(-4 + a) + 4a + 6] = 0 6a + -1[(-4 * 4 + a * 4) + 4a + 6] = 0 6a + -1[(-16 + 4a) + 4a + 6] = 0 Reorder the terms: 6a + -1[-16 + 6 + 4a + 4a] = 0 Combine like terms: -16 + 6 = -10 6a + -1[-10 + 4a + 4a] = 0 Combine like terms: 4a + 4a = 8a 6a + -1[-10 + 8a] = 0 6a + [-10 * -1 + 8a * -1] = 0 6a + [10 + -8a] = 0 Reorder the terms: 10 + 6a + -8a = 0 Combine like terms: 6a + -8a = -2a 10 + -2a = 0 Solving 10 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 0 + -10 -2a = 0 + -10 Combine like terms: 0 + -10 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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