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Simplifying 8[4 + -3(a + -3)] = 8(3 + -4a) Reorder the terms: 8[4 + -3(-3 + a)] = 8(3 + -4a) 8[4 + (-3 * -3 + a * -3)] = 8(3 + -4a) 8[4 + (9 + -3a)] = 8(3 + -4a) Combine like terms: 4 + 9 = 13 8[13 + -3a] = 8(3 + -4a) [13 * 8 + -3a * 8] = 8(3 + -4a) [104 + -24a] = 8(3 + -4a) 104 + -24a = (3 * 8 + -4a * 8) 104 + -24a = (24 + -32a) Solving 104 + -24a = 24 + -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. 104 + -24a + 32a = 24 + -32a + 32a Combine like terms: -24a + 32a = 8a 104 + 8a = 24 + -32a + 32a Combine like terms: -32a + 32a = 0 104 + 8a = 24 + 0 104 + 8a = 24 Add '-104' to each side of the equation. 104 + -104 + 8a = 24 + -104 Combine like terms: 104 + -104 = 0 0 + 8a = 24 + -104 8a = 24 + -104 Combine like terms: 24 + -104 = -80 8a = -80 Divide each side by '8'. a = -10 Simplifying a = -10
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