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Simplifying (11b + -3) + -5(2b + 1) = -2 Reorder the terms: (-3 + 11b) + -5(2b + 1) = -2 Remove parenthesis around (-3 + 11b) -3 + 11b + -5(2b + 1) = -2 Reorder the terms: -3 + 11b + -5(1 + 2b) = -2 -3 + 11b + (1 * -5 + 2b * -5) = -2 -3 + 11b + (-5 + -10b) = -2 Reorder the terms: -3 + -5 + 11b + -10b = -2 Combine like terms: -3 + -5 = -8 -8 + 11b + -10b = -2 Combine like terms: 11b + -10b = 1b -8 + 1b = -2 Solving -8 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -2 + 8 1b = -2 + 8 Combine like terms: -2 + 8 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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