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Simplifying 5a + -7 = 3a + 5 Reorder the terms: -7 + 5a = 3a + 5 Reorder the terms: -7 + 5a = 5 + 3a Solving -7 + 5a = 5 + 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. -7 + 5a + -3a = 5 + 3a + -3a Combine like terms: 5a + -3a = 2a -7 + 2a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + 2a = 5 + 0 -7 + 2a = 5 Add '7' to each side of the equation. -7 + 7 + 2a = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = 5 + 7 2a = 5 + 7 Combine like terms: 5 + 7 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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