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Simplifying -2(1 + -8a) = 5 + -7(a + 1) (1 * -2 + -8a * -2) = 5 + -7(a + 1) (-2 + 16a) = 5 + -7(a + 1) Reorder the terms: -2 + 16a = 5 + -7(1 + a) -2 + 16a = 5 + (1 * -7 + a * -7) -2 + 16a = 5 + (-7 + -7a) Combine like terms: 5 + -7 = -2 -2 + 16a = -2 + -7a Add '2' to each side of the equation. -2 + 2 + 16a = -2 + 2 + -7a Combine like terms: -2 + 2 = 0 0 + 16a = -2 + 2 + -7a 16a = -2 + 2 + -7a Combine like terms: -2 + 2 = 0 16a = 0 + -7a 16a = -7a Solving 16a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 16a + 7a = -7a + 7a Combine like terms: 16a + 7a = 23a 23a = -7a + 7a Combine like terms: -7a + 7a = 0 23a = 0 Divide each side by '23'. a = 0 Simplifying a = 0
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