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Simplifying 5a + 7 = 112 + -2a Reorder the terms: 7 + 5a = 112 + -2a Solving 7 + 5a = 112 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7 + 5a + 2a = 112 + -2a + 2a Combine like terms: 5a + 2a = 7a 7 + 7a = 112 + -2a + 2a Combine like terms: -2a + 2a = 0 7 + 7a = 112 + 0 7 + 7a = 112 Add '-7' to each side of the equation. 7 + -7 + 7a = 112 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = 112 + -7 7a = 112 + -7 Combine like terms: 112 + -7 = 105 7a = 105 Divide each side by '7'. a = 15 Simplifying a = 15
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