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Simplifying 5a + -12 = 3a + 7 Reorder the terms: -12 + 5a = 3a + 7 Reorder the terms: -12 + 5a = 7 + 3a Solving -12 + 5a = 7 + 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. -12 + 5a + -3a = 7 + 3a + -3a Combine like terms: 5a + -3a = 2a -12 + 2a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 2a = 7 + 0 -12 + 2a = 7 Add '12' to each side of the equation. -12 + 12 + 2a = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 7 + 12 2a = 7 + 12 Combine like terms: 7 + 12 = 19 2a = 19 Divide each side by '2'. a = 9.5 Simplifying a = 9.5
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