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Simplifying 5a + -7 + 4a = 2a + -28 + 4a Reorder the terms: -7 + 5a + 4a = 2a + -28 + 4a Combine like terms: 5a + 4a = 9a -7 + 9a = 2a + -28 + 4a Reorder the terms: -7 + 9a = -28 + 2a + 4a Combine like terms: 2a + 4a = 6a -7 + 9a = -28 + 6a Solving -7 + 9a = -28 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 9a + -6a = -28 + 6a + -6a Combine like terms: 9a + -6a = 3a -7 + 3a = -28 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + 3a = -28 + 0 -7 + 3a = -28 Add '7' to each side of the equation. -7 + 7 + 3a = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = -28 + 7 3a = -28 + 7 Combine like terms: -28 + 7 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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