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Simplifying [3a + 8] = [4a + -4] Reorder the terms: [8 + 3a] = [4a + -4] Remove brackets around [8 + 3a] 8 + 3a = [4a + -4] Reorder the terms: 8 + 3a = [-4 + 4a] Remove brackets around [-4 + 4a] 8 + 3a = -4 + 4a Solving 8 + 3a = -4 + 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. 8 + 3a + -4a = -4 + 4a + -4a Combine like terms: 3a + -4a = -1a 8 + -1a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + -1a = -4 + 0 8 + -1a = -4 Add '-8' to each side of the equation. 8 + -8 + -1a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -4 + -8 -1a = -4 + -8 Combine like terms: -4 + -8 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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