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Simplifying 5(a + 7) + 7(7 + a) = 60 Reorder the terms: 5(7 + a) + 7(7 + a) = 60 (7 * 5 + a * 5) + 7(7 + a) = 60 (35 + 5a) + 7(7 + a) = 60 35 + 5a + (7 * 7 + a * 7) = 60 35 + 5a + (49 + 7a) = 60 Reorder the terms: 35 + 49 + 5a + 7a = 60 Combine like terms: 35 + 49 = 84 84 + 5a + 7a = 60 Combine like terms: 5a + 7a = 12a 84 + 12a = 60 Solving 84 + 12a = 60 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 12a = 60 + -84 Combine like terms: 84 + -84 = 0 0 + 12a = 60 + -84 12a = 60 + -84 Combine like terms: 60 + -84 = -24 12a = -24 Divide each side by '12'. a = -2 Simplifying a = -2
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