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Simplifying 7(a + 5) + -12 = 3(a + 2) Reorder the terms: 7(5 + a) + -12 = 3(a + 2) (5 * 7 + a * 7) + -12 = 3(a + 2) (35 + 7a) + -12 = 3(a + 2) Reorder the terms: 35 + -12 + 7a = 3(a + 2) Combine like terms: 35 + -12 = 23 23 + 7a = 3(a + 2) Reorder the terms: 23 + 7a = 3(2 + a) 23 + 7a = (2 * 3 + a * 3) 23 + 7a = (6 + 3a) Solving 23 + 7a = 6 + 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. 23 + 7a + -3a = 6 + 3a + -3a Combine like terms: 7a + -3a = 4a 23 + 4a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 23 + 4a = 6 + 0 23 + 4a = 6 Add '-23' to each side of the equation. 23 + -23 + 4a = 6 + -23 Combine like terms: 23 + -23 = 0 0 + 4a = 6 + -23 4a = 6 + -23 Combine like terms: 6 + -23 = -17 4a = -17 Divide each side by '4'. a = -4.25 Simplifying a = -4.25
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