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Simplifying 8[4 + -5(a + -4)] = 8(5 + -4a) Reorder the terms: 8[4 + -5(-4 + a)] = 8(5 + -4a) 8[4 + (-4 * -5 + a * -5)] = 8(5 + -4a) 8[4 + (20 + -5a)] = 8(5 + -4a) Combine like terms: 4 + 20 = 24 8[24 + -5a] = 8(5 + -4a) [24 * 8 + -5a * 8] = 8(5 + -4a) [192 + -40a] = 8(5 + -4a) 192 + -40a = (5 * 8 + -4a * 8) 192 + -40a = (40 + -32a) Solving 192 + -40a = 40 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. 192 + -40a + 32a = 40 + -32a + 32a Combine like terms: -40a + 32a = -8a 192 + -8a = 40 + -32a + 32a Combine like terms: -32a + 32a = 0 192 + -8a = 40 + 0 192 + -8a = 40 Add '-192' to each side of the equation. 192 + -192 + -8a = 40 + -192 Combine like terms: 192 + -192 = 0 0 + -8a = 40 + -192 -8a = 40 + -192 Combine like terms: 40 + -192 = -152 -8a = -152 Divide each side by '-8'. a = 19 Simplifying a = 19
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