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Simplifying [3a + 9] = [4a + -7] Reorder the terms: [9 + 3a] = [4a + -7] Remove brackets around [9 + 3a] 9 + 3a = [4a + -7] Reorder the terms: 9 + 3a = [-7 + 4a] Remove brackets around [-7 + 4a] 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 = -1a 9 + -1a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + -1a = -7 + 0 9 + -1a = -7 Add '-9' to each side of the equation. 9 + -9 + -1a = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = -7 + -9 -1a = -7 + -9 Combine like terms: -7 + -9 = -16 -1a = -16 Divide each side by '-1'. a = 16 Simplifying a = 16
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