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Simplifying 2[5 + -1(3a + 8)] + 9 = 5(5 + a) Reorder the terms: 2[5 + -1(8 + 3a)] + 9 = 5(5 + a) 2[5 + (8 * -1 + 3a * -1)] + 9 = 5(5 + a) 2[5 + (-8 + -3a)] + 9 = 5(5 + a) Combine like terms: 5 + -8 = -3 2[-3 + -3a] + 9 = 5(5 + a) [-3 * 2 + -3a * 2] + 9 = 5(5 + a) [-6 + -6a] + 9 = 5(5 + a) Reorder the terms: -6 + 9 + -6a = 5(5 + a) Combine like terms: -6 + 9 = 3 3 + -6a = 5(5 + a) 3 + -6a = (5 * 5 + a * 5) 3 + -6a = (25 + 5a) Solving 3 + -6a = 25 + 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. 3 + -6a + -5a = 25 + 5a + -5a Combine like terms: -6a + -5a = -11a 3 + -11a = 25 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -11a = 25 + 0 3 + -11a = 25 Add '-3' to each side of the equation. 3 + -3 + -11a = 25 + -3 Combine like terms: 3 + -3 = 0 0 + -11a = 25 + -3 -11a = 25 + -3 Combine like terms: 25 + -3 = 22 -11a = 22 Divide each side by '-11'. a = -2 Simplifying a = -2
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