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Simplifying -5(a + -1) + -1[7 + -6(3a + -1)] = 0 Reorder the terms: -5(-1 + a) + -1[7 + -6(3a + -1)] = 0 (-1 * -5 + a * -5) + -1[7 + -6(3a + -1)] = 0 (5 + -5a) + -1[7 + -6(3a + -1)] = 0 Reorder the terms: 5 + -5a + -1[7 + -6(-1 + 3a)] = 0 5 + -5a + -1[7 + (-1 * -6 + 3a * -6)] = 0 5 + -5a + -1[7 + (6 + -18a)] = 0 Combine like terms: 7 + 6 = 13 5 + -5a + -1[13 + -18a] = 0 5 + -5a + [13 * -1 + -18a * -1] = 0 5 + -5a + [-13 + 18a] = 0 Reorder the terms: 5 + -13 + -5a + 18a = 0 Combine like terms: 5 + -13 = -8 -8 + -5a + 18a = 0 Combine like terms: -5a + 18a = 13a -8 + 13a = 0 Solving -8 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13a = 0 + 8 13a = 0 + 8 Combine like terms: 0 + 8 = 8 13a = 8 Divide each side by '13'. a = 0.6153846154 Simplifying a = 0.6153846154
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