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Simplifying -5[6a + -3 + -7(a + 1)] = 3a + -1 Reorder the terms: -5[6a + -3 + -7(1 + a)] = 3a + -1 -5[6a + -3 + (1 * -7 + a * -7)] = 3a + -1 -5[6a + -3 + (-7 + -7a)] = 3a + -1 Reorder the terms: -5[-3 + -7 + 6a + -7a] = 3a + -1 Combine like terms: -3 + -7 = -10 -5[-10 + 6a + -7a] = 3a + -1 Combine like terms: 6a + -7a = -1a -5[-10 + -1a] = 3a + -1 [-10 * -5 + -1a * -5] = 3a + -1 [50 + 5a] = 3a + -1 Reorder the terms: 50 + 5a = -1 + 3a Solving 50 + 5a = -1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 50 + 5a + -3a = -1 + 3a + -3a Combine like terms: 5a + -3a = 2a 50 + 2a = -1 + 3a + -3a Combine like terms: 3a + -3a = 0 50 + 2a = -1 + 0 50 + 2a = -1 Add '-50' to each side of the equation. 50 + -50 + 2a = -1 + -50 Combine like terms: 50 + -50 = 0 0 + 2a = -1 + -50 2a = -1 + -50 Combine like terms: -1 + -50 = -51 2a = -51 Divide each side by '2'. a = -25.5 Simplifying a = -25.5
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