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Simplifying 5a + 35 + -12a + 3 = 12 + -12a Reorder the terms: 35 + 3 + 5a + -12a = 12 + -12a Combine like terms: 35 + 3 = 38 38 + 5a + -12a = 12 + -12a Combine like terms: 5a + -12a = -7a 38 + -7a = 12 + -12a Solving 38 + -7a = 12 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 38 + -7a + 12a = 12 + -12a + 12a Combine like terms: -7a + 12a = 5a 38 + 5a = 12 + -12a + 12a Combine like terms: -12a + 12a = 0 38 + 5a = 12 + 0 38 + 5a = 12 Add '-38' to each side of the equation. 38 + -38 + 5a = 12 + -38 Combine like terms: 38 + -38 = 0 0 + 5a = 12 + -38 5a = 12 + -38 Combine like terms: 12 + -38 = -26 5a = -26 Divide each side by '5'. a = -5.2 Simplifying a = -5.2
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