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Simplifying 2a + -1b + 8d + -41 = 0 Reorder the terms: -41 + 2a + -1b + 8d = 0 Solving -41 + 2a + -1b + 8d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 2a + -1b + 41 + 8d = 0 + 41 Reorder the terms: -41 + 41 + 2a + -1b + 8d = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2a + -1b + 8d = 0 + 41 2a + -1b + 8d = 0 + 41 Combine like terms: 0 + 41 = 41 2a + -1b + 8d = 41 Add 'b' to each side of the equation. 2a + -1b + b + 8d = 41 + b Combine like terms: -1b + b = 0 2a + 0 + 8d = 41 + b 2a + 8d = 41 + b Add '-8d' to each side of the equation. 2a + 8d + -8d = 41 + b + -8d Combine like terms: 8d + -8d = 0 2a + 0 = 41 + b + -8d 2a = 41 + b + -8d Divide each side by '2'. a = 20.5 + 0.5b + -4d Simplifying a = 20.5 + 0.5b + -4d
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