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Simplifying 7a + -6g + 12 = 3a + -32 Reorder the terms: 12 + 7a + -6g = 3a + -32 Reorder the terms: 12 + 7a + -6g = -32 + 3a Solving 12 + 7a + -6g = -32 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + 7a + -3a + -6g = -32 + 3a + -3a Combine like terms: 7a + -3a = 4a 12 + 4a + -6g = -32 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 4a + -6g = -32 + 0 12 + 4a + -6g = -32 Add '-12' to each side of the equation. 12 + 4a + -12 + -6g = -32 + -12 Reorder the terms: 12 + -12 + 4a + -6g = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 4a + -6g = -32 + -12 4a + -6g = -32 + -12 Combine like terms: -32 + -12 = -44 4a + -6g = -44 Add '6g' to each side of the equation. 4a + -6g + 6g = -44 + 6g Combine like terms: -6g + 6g = 0 4a + 0 = -44 + 6g 4a = -44 + 6g Divide each side by '4'. a = -11 + 1.5g Simplifying a = -11 + 1.5g
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