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Simplifying 4a + 12 = 7a + -9 Reorder the terms: 12 + 4a = 7a + -9 Reorder the terms: 12 + 4a = -9 + 7a Solving 12 + 4a = -9 + 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 + 4a + -7a = -9 + 7a + -7a Combine like terms: 4a + -7a = -3a 12 + -3a = -9 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -3a = -9 + 0 12 + -3a = -9 Add '-12' to each side of the equation. 12 + -12 + -3a = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = -9 + -12 -3a = -9 + -12 Combine like terms: -9 + -12 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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