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Simplifying 7a + 12 = 13a Reorder the terms: 12 + 7a = 13a Solving 12 + 7a = 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 12 + 7a + -13a = 13a + -13a Combine like terms: 7a + -13a = -6a 12 + -6a = 13a + -13a Combine like terms: 13a + -13a = 0 12 + -6a = 0 Add '-12' to each side of the equation. 12 + -12 + -6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 0 + -12 -6a = 0 + -12 Combine like terms: 0 + -12 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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