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Simplifying 4(7 + -2a) + 7(8 + 2a) = 60 (7 * 4 + -2a * 4) + 7(8 + 2a) = 60 (28 + -8a) + 7(8 + 2a) = 60 28 + -8a + (8 * 7 + 2a * 7) = 60 28 + -8a + (56 + 14a) = 60 Reorder the terms: 28 + 56 + -8a + 14a = 60 Combine like terms: 28 + 56 = 84 84 + -8a + 14a = 60 Combine like terms: -8a + 14a = 6a 84 + 6a = 60 Solving 84 + 6a = 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 + 6a = 60 + -84 Combine like terms: 84 + -84 = 0 0 + 6a = 60 + -84 6a = 60 + -84 Combine like terms: 60 + -84 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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