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Simplifying -508 = -17(a + 12) + a Reorder the terms: -508 = -17(12 + a) + a -508 = (12 * -17 + a * -17) + a -508 = (-204 + -17a) + a Combine like terms: -17a + a = -16a -508 = -204 + -16a Solving -508 = -204 + -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. -508 + 16a = -204 + -16a + 16a Combine like terms: -16a + 16a = 0 -508 + 16a = -204 + 0 -508 + 16a = -204 Add '508' to each side of the equation. -508 + 508 + 16a = -204 + 508 Combine like terms: -508 + 508 = 0 0 + 16a = -204 + 508 16a = -204 + 508 Combine like terms: -204 + 508 = 304 16a = 304 Divide each side by '16'. a = 19 Simplifying a = 19
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