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Simplifying 4a + 7 = 10 + 1a Reorder the terms: 7 + 4a = 10 + 1a Solving 7 + 4a = 10 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + 4a + -1a = 10 + 1a + -1a Combine like terms: 4a + -1a = 3a 7 + 3a = 10 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + 3a = 10 + 0 7 + 3a = 10 Add '-7' to each side of the equation. 7 + -7 + 3a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 10 + -7 3a = 10 + -7 Combine like terms: 10 + -7 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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