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Simplifying 11(2b + -1) + -1(3b + -7) = 1 Reorder the terms: 11(-1 + 2b) + -1(3b + -7) = 1 (-1 * 11 + 2b * 11) + -1(3b + -7) = 1 (-11 + 22b) + -1(3b + -7) = 1 Reorder the terms: -11 + 22b + -1(-7 + 3b) = 1 -11 + 22b + (-7 * -1 + 3b * -1) = 1 -11 + 22b + (7 + -3b) = 1 Reorder the terms: -11 + 7 + 22b + -3b = 1 Combine like terms: -11 + 7 = -4 -4 + 22b + -3b = 1 Combine like terms: 22b + -3b = 19b -4 + 19b = 1 Solving -4 + 19b = 1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 19b = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 19b = 1 + 4 19b = 1 + 4 Combine like terms: 1 + 4 = 5 19b = 5 Divide each side by '19'. b = 0.2631578947 Simplifying b = 0.2631578947
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