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Simplifying (11b + -2) + -5(2b + 1) = -2 Reorder the terms: (-2 + 11b) + -5(2b + 1) = -2 Remove parenthesis around (-2 + 11b) -2 + 11b + -5(2b + 1) = -2 Reorder the terms: -2 + 11b + -5(1 + 2b) = -2 -2 + 11b + (1 * -5 + 2b * -5) = -2 -2 + 11b + (-5 + -10b) = -2 Reorder the terms: -2 + -5 + 11b + -10b = -2 Combine like terms: -2 + -5 = -7 -7 + 11b + -10b = -2 Combine like terms: 11b + -10b = 1b -7 + 1b = -2 Solving -7 + 1b = -2 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 = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = -2 + 7 1b = -2 + 7 Combine like terms: -2 + 7 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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