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Simplifying 4a + 6 + -1a = 2a + 7 Reorder the terms: 6 + 4a + -1a = 2a + 7 Combine like terms: 4a + -1a = 3a 6 + 3a = 2a + 7 Reorder the terms: 6 + 3a = 7 + 2a Solving 6 + 3a = 7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + 3a + -2a = 7 + 2a + -2a Combine like terms: 3a + -2a = 1a 6 + 1a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + 1a = 7 + 0 6 + 1a = 7 Add '-6' to each side of the equation. 6 + -6 + 1a = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1a = 7 + -6 1a = 7 + -6 Combine like terms: 7 + -6 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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