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Simplifying 5a + 12 = 7a Reorder the terms: 12 + 5a = 7a Solving 12 + 5a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 5a + -7a = 7a + -7a Combine like terms: 5a + -7a = -2a 12 + -2a = 7a + -7a Combine like terms: 7a + -7a = 0 12 + -2a = 0 Add '-12' to each side of the equation. 12 + -12 + -2a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 0 + -12 -2a = 0 + -12 Combine like terms: 0 + -12 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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