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Simplifying -142 = 2(8a + 1) + 2a Reorder the terms: -142 = 2(1 + 8a) + 2a -142 = (1 * 2 + 8a * 2) + 2a -142 = (2 + 16a) + 2a Combine like terms: 16a + 2a = 18a -142 = 2 + 18a Solving -142 = 2 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -142 + -18a = 2 + 18a + -18a Combine like terms: 18a + -18a = 0 -142 + -18a = 2 + 0 -142 + -18a = 2 Add '142' to each side of the equation. -142 + 142 + -18a = 2 + 142 Combine like terms: -142 + 142 = 0 0 + -18a = 2 + 142 -18a = 2 + 142 Combine like terms: 2 + 142 = 144 -18a = 144 Divide each side by '-18'. a = -8 Simplifying a = -8
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