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Simplifying a + -41 = 2a + 1 + -5a Reorder the terms: -41 + a = 2a + 1 + -5a Reorder the terms: -41 + a = 1 + 2a + -5a Combine like terms: 2a + -5a = -3a -41 + a = 1 + -3a Solving -41 + a = 1 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -41 + a + 3a = 1 + -3a + 3a Combine like terms: a + 3a = 4a -41 + 4a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 -41 + 4a = 1 + 0 -41 + 4a = 1 Add '41' to each side of the equation. -41 + 41 + 4a = 1 + 41 Combine like terms: -41 + 41 = 0 0 + 4a = 1 + 41 4a = 1 + 41 Combine like terms: 1 + 41 = 42 4a = 42 Divide each side by '4'. a = 10.5 Simplifying a = 10.5
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