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Simplifying 2(9a + -1) + 7(a + 6) = -60 Reorder the terms: 2(-1 + 9a) + 7(a + 6) = -60 (-1 * 2 + 9a * 2) + 7(a + 6) = -60 (-2 + 18a) + 7(a + 6) = -60 Reorder the terms: -2 + 18a + 7(6 + a) = -60 -2 + 18a + (6 * 7 + a * 7) = -60 -2 + 18a + (42 + 7a) = -60 Reorder the terms: -2 + 42 + 18a + 7a = -60 Combine like terms: -2 + 42 = 40 40 + 18a + 7a = -60 Combine like terms: 18a + 7a = 25a 40 + 25a = -60 Solving 40 + 25a = -60 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 25a = -60 + -40 Combine like terms: 40 + -40 = 0 0 + 25a = -60 + -40 25a = -60 + -40 Combine like terms: -60 + -40 = -100 25a = -100 Divide each side by '25'. a = -4 Simplifying a = -4
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