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Simplifying 3a + 24 = 4a + -12 Reorder the terms: 24 + 3a = 4a + -12 Reorder the terms: 24 + 3a = -12 + 4a Solving 24 + 3a = -12 + 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. 24 + 3a + -4a = -12 + 4a + -4a Combine like terms: 3a + -4a = -1a 24 + -1a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 24 + -1a = -12 + 0 24 + -1a = -12 Add '-24' to each side of the equation. 24 + -24 + -1a = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -1a = -12 + -24 -1a = -12 + -24 Combine like terms: -12 + -24 = -36 -1a = -36 Divide each side by '-1'. a = 36 Simplifying a = 36
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