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