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Simplifying -10 + 7(a + 3) = 5 + -8 Reorder the terms: -10 + 7(3 + a) = 5 + -8 -10 + (3 * 7 + a * 7) = 5 + -8 -10 + (21 + 7a) = 5 + -8 Combine like terms: -10 + 21 = 11 11 + 7a = 5 + -8 Combine like terms: 5 + -8 = -3 11 + 7a = -3 Solving 11 + 7a = -3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7a = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 7a = -3 + -11 7a = -3 + -11 Combine like terms: -3 + -11 = -14 7a = -14 Divide each side by '7'. a = -2 Simplifying a = -2
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