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Simplifying 2a + 16 + -7a = 41 + -10a Reorder the terms: 16 + 2a + -7a = 41 + -10a Combine like terms: 2a + -7a = -5a 16 + -5a = 41 + -10a Solving 16 + -5a = 41 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 16 + -5a + 10a = 41 + -10a + 10a Combine like terms: -5a + 10a = 5a 16 + 5a = 41 + -10a + 10a Combine like terms: -10a + 10a = 0 16 + 5a = 41 + 0 16 + 5a = 41 Add '-16' to each side of the equation. 16 + -16 + 5a = 41 + -16 Combine like terms: 16 + -16 = 0 0 + 5a = 41 + -16 5a = 41 + -16 Combine like terms: 41 + -16 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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