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Simplifying 5(a + 2) = 8[a + -1(-9 + -1a)] Reorder the terms: 5(2 + a) = 8[a + -1(-9 + -1a)] (2 * 5 + a * 5) = 8[a + -1(-9 + -1a)] (10 + 5a) = 8[a + -1(-9 + -1a)] 10 + 5a = 8[a + (-9 * -1 + -1a * -1)] 10 + 5a = 8[a + (9 + 1a)] Reorder the terms: 10 + 5a = 8[9 + a + 1a] Combine like terms: a + 1a = 2a 10 + 5a = 8[9 + 2a] 10 + 5a = [9 * 8 + 2a * 8] 10 + 5a = [72 + 16a] Solving 10 + 5a = 72 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 10 + 5a + -16a = 72 + 16a + -16a Combine like terms: 5a + -16a = -11a 10 + -11a = 72 + 16a + -16a Combine like terms: 16a + -16a = 0 10 + -11a = 72 + 0 10 + -11a = 72 Add '-10' to each side of the equation. 10 + -10 + -11a = 72 + -10 Combine like terms: 10 + -10 = 0 0 + -11a = 72 + -10 -11a = 72 + -10 Combine like terms: 72 + -10 = 62 -11a = 62 Divide each side by '-11'. a = -5.636363636 Simplifying a = -5.636363636
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