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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 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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