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Simplifying 5 + 3a + -8a = [1 + -4a] + -8[a + -3] Combine like terms: 3a + -8a = -5a 5 + -5a = [1 + -4a] + -8[a + -3] Remove brackets around [1 + -4a] 5 + -5a = 1 + -4a + -8[a + -3] Reorder the terms: 5 + -5a = 1 + -4a + -8[-3 + a] 5 + -5a = 1 + -4a + [-3 * -8 + a * -8] 5 + -5a = 1 + -4a + [24 + -8a] Reorder the terms: 5 + -5a = 1 + 24 + -4a + -8a Combine like terms: 1 + 24 = 25 5 + -5a = 25 + -4a + -8a Combine like terms: -4a + -8a = -12a 5 + -5a = 25 + -12a Solving 5 + -5a = 25 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 5 + -5a + 12a = 25 + -12a + 12a Combine like terms: -5a + 12a = 7a 5 + 7a = 25 + -12a + 12a Combine like terms: -12a + 12a = 0 5 + 7a = 25 + 0 5 + 7a = 25 Add '-5' to each side of the equation. 5 + -5 + 7a = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 25 + -5 7a = 25 + -5 Combine like terms: 25 + -5 = 20 7a = 20 Divide each side by '7'. a = 2.857142857 Simplifying a = 2.857142857
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