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Simplifying 7a + 1 = 2a + 21 Reorder the terms: 1 + 7a = 2a + 21 Reorder the terms: 1 + 7a = 21 + 2a Solving 1 + 7a = 21 + 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. 1 + 7a + -2a = 21 + 2a + -2a Combine like terms: 7a + -2a = 5a 1 + 5a = 21 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 5a = 21 + 0 1 + 5a = 21 Add '-1' to each side of the equation. 1 + -1 + 5a = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 21 + -1 5a = 21 + -1 Combine like terms: 21 + -1 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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