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Simplifying 2a + 7 = 5a + 1 Reorder the terms: 7 + 2a = 5a + 1 Reorder the terms: 7 + 2a = 1 + 5a Solving 7 + 2a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 7 + 2a + -5a = 1 + 5a + -5a Combine like terms: 2a + -5a = -3a 7 + -3a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -3a = 1 + 0 7 + -3a = 1 Add '-7' to each side of the equation. 7 + -7 + -3a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 1 + -7 -3a = 1 + -7 Combine like terms: 1 + -7 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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