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Simplifying -142 = -2(8a + 7) Reorder the terms: -142 = -2(7 + 8a) -142 = (7 * -2 + 8a * -2) -142 = (-14 + -16a) Solving -142 = -14 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -142 + 16a = -14 + -16a + 16a Combine like terms: -16a + 16a = 0 -142 + 16a = -14 + 0 -142 + 16a = -14 Add '142' to each side of the equation. -142 + 142 + 16a = -14 + 142 Combine like terms: -142 + 142 = 0 0 + 16a = -14 + 142 16a = -14 + 142 Combine like terms: -14 + 142 = 128 16a = 128 Divide each side by '16'. a = 8 Simplifying a = 8
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