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Simplifying 3a + 4 = 5a + -12 Reorder the terms: 4 + 3a = 5a + -12 Reorder the terms: 4 + 3a = -12 + 5a Solving 4 + 3a = -12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + 3a + -5a = -12 + 5a + -5a Combine like terms: 3a + -5a = -2a 4 + -2a = -12 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + -2a = -12 + 0 4 + -2a = -12 Add '-4' to each side of the equation. 4 + -4 + -2a = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2a = -12 + -4 -2a = -12 + -4 Combine like terms: -12 + -4 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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