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Simplifying -82 + 5a = -4a + 152 Reorder the terms: -82 + 5a = 152 + -4a Solving -82 + 5a = 152 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -82 + 5a + 4a = 152 + -4a + 4a Combine like terms: 5a + 4a = 9a -82 + 9a = 152 + -4a + 4a Combine like terms: -4a + 4a = 0 -82 + 9a = 152 + 0 -82 + 9a = 152 Add '82' to each side of the equation. -82 + 82 + 9a = 152 + 82 Combine like terms: -82 + 82 = 0 0 + 9a = 152 + 82 9a = 152 + 82 Combine like terms: 152 + 82 = 234 9a = 234 Divide each side by '9'. a = 26 Simplifying a = 26
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