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Simplifying (11b + -3) + -5(2b + 4) = -6 Reorder the terms: (-3 + 11b) + -5(2b + 4) = -6 Remove parenthesis around (-3 + 11b) -3 + 11b + -5(2b + 4) = -6 Reorder the terms: -3 + 11b + -5(4 + 2b) = -6 -3 + 11b + (4 * -5 + 2b * -5) = -6 -3 + 11b + (-20 + -10b) = -6 Reorder the terms: -3 + -20 + 11b + -10b = -6 Combine like terms: -3 + -20 = -23 -23 + 11b + -10b = -6 Combine like terms: 11b + -10b = 1b -23 + 1b = -6 Solving -23 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = -6 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = -6 + 23 1b = -6 + 23 Combine like terms: -6 + 23 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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