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Simplifying 6(a + 1) = 5(2 + -9) Reorder the terms: 6(1 + a) = 5(2 + -9) (1 * 6 + a * 6) = 5(2 + -9) (6 + 6a) = 5(2 + -9) Combine like terms: 2 + -9 = -7 6 + 6a = 5(-7) Multiply 5 * -7 6 + 6a = -35 Solving 6 + 6a = -35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6a = -35 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = -35 + -6 6a = -35 + -6 Combine like terms: -35 + -6 = -41 6a = -41 Divide each side by '6'. a = -6.833333333 Simplifying a = -6.833333333
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