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Simplifying (11b + -2) + -5(2b + 1) = -5 Reorder the terms: (-2 + 11b) + -5(2b + 1) = -5 Remove parenthesis around (-2 + 11b) -2 + 11b + -5(2b + 1) = -5 Reorder the terms: -2 + 11b + -5(1 + 2b) = -5 -2 + 11b + (1 * -5 + 2b * -5) = -5 -2 + 11b + (-5 + -10b) = -5 Reorder the terms: -2 + -5 + 11b + -10b = -5 Combine like terms: -2 + -5 = -7 -7 + 11b + -10b = -5 Combine like terms: 11b + -10b = 1b -7 + 1b = -5 Solving -7 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1b = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = -5 + 7 1b = -5 + 7 Combine like terms: -5 + 7 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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