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Simplifying 3a + 12 = 5a + 7 Reorder the terms: 12 + 3a = 5a + 7 Reorder the terms: 12 + 3a = 7 + 5a Solving 12 + 3a = 7 + 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. 12 + 3a + -5a = 7 + 5a + -5a Combine like terms: 3a + -5a = -2a 12 + -2a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -2a = 7 + 0 12 + -2a = 7 Add '-12' to each side of the equation. 12 + -12 + -2a = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 7 + -12 -2a = 7 + -12 Combine like terms: 7 + -12 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5
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