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Simplifying 8a + 12 = 4a + -9 Reorder the terms: 12 + 8a = 4a + -9 Reorder the terms: 12 + 8a = -9 + 4a Solving 12 + 8a = -9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + 8a + -4a = -9 + 4a + -4a Combine like terms: 8a + -4a = 4a 12 + 4a = -9 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 4a = -9 + 0 12 + 4a = -9 Add '-12' to each side of the equation. 12 + -12 + 4a = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = -9 + -12 4a = -9 + -12 Combine like terms: -9 + -12 = -21 4a = -21 Divide each side by '4'. a = -5.25 Simplifying a = -5.25
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