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Simplifying 23a + -5(3a + -4) + 8(7 + a) = 124 Reorder the terms: 23a + -5(-4 + 3a) + 8(7 + a) = 124 23a + (-4 * -5 + 3a * -5) + 8(7 + a) = 124 23a + (20 + -15a) + 8(7 + a) = 124 23a + 20 + -15a + (7 * 8 + a * 8) = 124 23a + 20 + -15a + (56 + 8a) = 124 Reorder the terms: 20 + 56 + 23a + -15a + 8a = 124 Combine like terms: 20 + 56 = 76 76 + 23a + -15a + 8a = 124 Combine like terms: 23a + -15a = 8a 76 + 8a + 8a = 124 Combine like terms: 8a + 8a = 16a 76 + 16a = 124 Solving 76 + 16a = 124 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 16a = 124 + -76 Combine like terms: 76 + -76 = 0 0 + 16a = 124 + -76 16a = 124 + -76 Combine like terms: 124 + -76 = 48 16a = 48 Divide each side by '16'. a = 3 Simplifying a = 3
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