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Simplifying 4[a + -1(3a + -5)] = a + -7 Reorder the terms: 4[a + -1(-5 + 3a)] = a + -7 4[a + (-5 * -1 + 3a * -1)] = a + -7 4[a + (5 + -3a)] = a + -7 Reorder the terms: 4[5 + a + -3a] = a + -7 Combine like terms: a + -3a = -2a 4[5 + -2a] = a + -7 [5 * 4 + -2a * 4] = a + -7 [20 + -8a] = a + -7 Reorder the terms: 20 + -8a = -7 + a Solving 20 + -8a = -7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 20 + -8a + -1a = -7 + a + -1a Combine like terms: -8a + -1a = -9a 20 + -9a = -7 + a + -1a Combine like terms: a + -1a = 0 20 + -9a = -7 + 0 20 + -9a = -7 Add '-20' to each side of the equation. 20 + -20 + -9a = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -9a = -7 + -20 -9a = -7 + -20 Combine like terms: -7 + -20 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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