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Simplifying 5x + -81 + 8b = 11x + 2 + -9(4b) Reorder the terms: -81 + 8b + 5x = 11x + 2 + -9(4b) Remove parenthesis around (4b) -81 + 8b + 5x = 11x + 2 + -9 * 4b Multiply -9 * 4 -81 + 8b + 5x = 11x + 2 + -36b Reorder the terms: -81 + 8b + 5x = 2 + -36b + 11x Solving -81 + 8b + 5x = 2 + -36b + 11x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -81 + 8b + 36b + 5x = 2 + -36b + 36b + 11x Combine like terms: 8b + 36b = 44b -81 + 44b + 5x = 2 + -36b + 36b + 11x Combine like terms: -36b + 36b = 0 -81 + 44b + 5x = 2 + 0 + 11x -81 + 44b + 5x = 2 + 11x Add '81' to each side of the equation. -81 + 44b + 81 + 5x = 2 + 81 + 11x Reorder the terms: -81 + 81 + 44b + 5x = 2 + 81 + 11x Combine like terms: -81 + 81 = 0 0 + 44b + 5x = 2 + 81 + 11x 44b + 5x = 2 + 81 + 11x Combine like terms: 2 + 81 = 83 44b + 5x = 83 + 11x Add '-5x' to each side of the equation. 44b + 5x + -5x = 83 + 11x + -5x Combine like terms: 5x + -5x = 0 44b + 0 = 83 + 11x + -5x 44b = 83 + 11x + -5x Combine like terms: 11x + -5x = 6x 44b = 83 + 6x Divide each side by '44'. b = 1.886363636 + 0.1363636364x Simplifying b = 1.886363636 + 0.1363636364x
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