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Simplifying 7a + -28 + -2a = 19 + 3a + 9 Reorder the terms: -28 + 7a + -2a = 19 + 3a + 9 Combine like terms: 7a + -2a = 5a -28 + 5a = 19 + 3a + 9 Reorder the terms: -28 + 5a = 19 + 9 + 3a Combine like terms: 19 + 9 = 28 -28 + 5a = 28 + 3a Solving -28 + 5a = 28 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -28 + 5a + -3a = 28 + 3a + -3a Combine like terms: 5a + -3a = 2a -28 + 2a = 28 + 3a + -3a Combine like terms: 3a + -3a = 0 -28 + 2a = 28 + 0 -28 + 2a = 28 Add '28' to each side of the equation. -28 + 28 + 2a = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 2a = 28 + 28 2a = 28 + 28 Combine like terms: 28 + 28 = 56 2a = 56 Divide each side by '2'. a = 28 Simplifying a = 28
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