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Simplifying 5a + -41 = (-141) + 9a Reorder the terms: -41 + 5a = (-141) + 9a -41 + 5a = -141 + 9a Solving -41 + 5a = -141 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -41 + 5a + -9a = -141 + 9a + -9a Combine like terms: 5a + -9a = -4a -41 + -4a = -141 + 9a + -9a Combine like terms: 9a + -9a = 0 -41 + -4a = -141 + 0 -41 + -4a = -141 Add '41' to each side of the equation. -41 + 41 + -4a = -141 + 41 Combine like terms: -41 + 41 = 0 0 + -4a = -141 + 41 -4a = -141 + 41 Combine like terms: -141 + 41 = -100 -4a = -100 Divide each side by '-4'. a = 25 Simplifying a = 25
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