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Simplifying 2a + 7 = -5a + 28 Reorder the terms: 7 + 2a = -5a + 28 Reorder the terms: 7 + 2a = 28 + -5a Solving 7 + 2a = 28 + -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 = 28 + -5a + 5a Combine like terms: 2a + 5a = 7a 7 + 7a = 28 + -5a + 5a Combine like terms: -5a + 5a = 0 7 + 7a = 28 + 0 7 + 7a = 28 Add '-7' to each side of the equation. 7 + -7 + 7a = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = 28 + -7 7a = 28 + -7 Combine like terms: 28 + -7 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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