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