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Simplifying 3a + 12 = -7a + -8 Reorder the terms: 12 + 3a = -7a + -8 Reorder the terms: 12 + 3a = -8 + -7a Solving 12 + 3a = -8 + -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 + 3a + 7a = -8 + -7a + 7a Combine like terms: 3a + 7a = 10a 12 + 10a = -8 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + 10a = -8 + 0 12 + 10a = -8 Add '-12' to each side of the equation. 12 + -12 + 10a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = -8 + -12 10a = -8 + -12 Combine like terms: -8 + -12 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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