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Simplifying 3a + 12 = 7a + -8 Reorder the terms: 12 + 3a = 7a + -8 Reorder the terms: 12 + 3a = -8 + 7a Solving 12 + 3a = -8 + 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 + 3a + -7a = -8 + 7a + -7a Combine like terms: 3a + -7a = -4a 12 + -4a = -8 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -4a = -8 + 0 12 + -4a = -8 Add '-12' to each side of the equation. 12 + -12 + -4a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = -8 + -12 -4a = -8 + -12 Combine like terms: -8 + -12 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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