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Simplifying 5a + 12 = 7a + -6 Reorder the terms: 12 + 5a = 7a + -6 Reorder the terms: 12 + 5a = -6 + 7a Solving 12 + 5a = -6 + 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 = -6 + 7a + -7a Combine like terms: 5a + -7a = -2a 12 + -2a = -6 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -2a = -6 + 0 12 + -2a = -6 Add '-12' to each side of the equation. 12 + -12 + -2a = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = -6 + -12 -2a = -6 + -12 Combine like terms: -6 + -12 = -18 -2a = -18 Divide each side by '-2'. a = 9 Simplifying a = 9
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