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Simplifying -3a + 1 = -4a + 8 Reorder the terms: 1 + -3a = -4a + 8 Reorder the terms: 1 + -3a = 8 + -4a Solving 1 + -3a = 8 + -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. 1 + -3a + 4a = 8 + -4a + 4a Combine like terms: -3a + 4a = 1a 1 + 1a = 8 + -4a + 4a Combine like terms: -4a + 4a = 0 1 + 1a = 8 + 0 1 + 1a = 8 Add '-1' to each side of the equation. 1 + -1 + 1a = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 8 + -1 1a = 8 + -1 Combine like terms: 8 + -1 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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