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Simplifying [3a + 9] = -1[4a + -7] Reorder the terms: [9 + 3a] = -1[4a + -7] Remove brackets around [9 + 3a] 9 + 3a = -1[4a + -7] Reorder the terms: 9 + 3a = -1[-7 + 4a] 9 + 3a = [-7 * -1 + 4a * -1] 9 + 3a = [7 + -4a] Solving 9 + 3a = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 9 + 3a + 4a = 7 + -4a + 4a Combine like terms: 3a + 4a = 7a 9 + 7a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 9 + 7a = 7 + 0 9 + 7a = 7 Add '-9' to each side of the equation. 9 + -9 + 7a = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 7 + -9 7a = 7 + -9 Combine like terms: 7 + -9 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857
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