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Simplifying 12a + 3 = 10a + -7 Reorder the terms: 3 + 12a = 10a + -7 Reorder the terms: 3 + 12a = -7 + 10a Solving 3 + 12a = -7 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 3 + 12a + -10a = -7 + 10a + -10a Combine like terms: 12a + -10a = 2a 3 + 2a = -7 + 10a + -10a Combine like terms: 10a + -10a = 0 3 + 2a = -7 + 0 3 + 2a = -7 Add '-3' to each side of the equation. 3 + -3 + 2a = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = -7 + -3 2a = -7 + -3 Combine like terms: -7 + -3 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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