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Simplifying -2a + 28 + 7a = 3a + -5a Reorder the terms: 28 + -2a + 7a = 3a + -5a Combine like terms: -2a + 7a = 5a 28 + 5a = 3a + -5a Combine like terms: 3a + -5a = -2a 28 + 5a = -2a Solving 28 + 5a = -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. 28 + 5a + 2a = -2a + 2a Combine like terms: 5a + 2a = 7a 28 + 7a = -2a + 2a Combine like terms: -2a + 2a = 0 28 + 7a = 0 Add '-28' to each side of the equation. 28 + -28 + 7a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7a = 0 + -28 7a = 0 + -28 Combine like terms: 0 + -28 = -28 7a = -28 Divide each side by '7'. a = -4 Simplifying a = -4
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