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Simplifying -5[a + -4(2a + 3)] + 2 = 5a + 2 Reorder the terms: -5[a + -4(3 + 2a)] + 2 = 5a + 2 -5[a + (3 * -4 + 2a * -4)] + 2 = 5a + 2 -5[a + (-12 + -8a)] + 2 = 5a + 2 Reorder the terms: -5[-12 + a + -8a] + 2 = 5a + 2 Combine like terms: a + -8a = -7a -5[-12 + -7a] + 2 = 5a + 2 [-12 * -5 + -7a * -5] + 2 = 5a + 2 [60 + 35a] + 2 = 5a + 2 Reorder the terms: 60 + 2 + 35a = 5a + 2 Combine like terms: 60 + 2 = 62 62 + 35a = 5a + 2 Reorder the terms: 62 + 35a = 2 + 5a Solving 62 + 35a = 2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 62 + 35a + -5a = 2 + 5a + -5a Combine like terms: 35a + -5a = 30a 62 + 30a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 62 + 30a = 2 + 0 62 + 30a = 2 Add '-62' to each side of the equation. 62 + -62 + 30a = 2 + -62 Combine like terms: 62 + -62 = 0 0 + 30a = 2 + -62 30a = 2 + -62 Combine like terms: 2 + -62 = -60 30a = -60 Divide each side by '30'. a = -2 Simplifying a = -2
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