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Simplifying 7a + 5 = 3(a + 12) Reorder the terms: 5 + 7a = 3(a + 12) Reorder the terms: 5 + 7a = 3(12 + a) 5 + 7a = (12 * 3 + a * 3) 5 + 7a = (36 + 3a) Solving 5 + 7a = 36 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 7a + -3a = 36 + 3a + -3a Combine like terms: 7a + -3a = 4a 5 + 4a = 36 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 4a = 36 + 0 5 + 4a = 36 Add '-5' to each side of the equation. 5 + -5 + 4a = 36 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = 36 + -5 4a = 36 + -5 Combine like terms: 36 + -5 = 31 4a = 31 Divide each side by '4'. a = 7.75 Simplifying a = 7.75
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