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Simplifying (11b + -7) + -5(2b + 4) = -6 Reorder the terms: (-7 + 11b) + -5(2b + 4) = -6 Remove parenthesis around (-7 + 11b) -7 + 11b + -5(2b + 4) = -6 Reorder the terms: -7 + 11b + -5(4 + 2b) = -6 -7 + 11b + (4 * -5 + 2b * -5) = -6 -7 + 11b + (-20 + -10b) = -6 Reorder the terms: -7 + -20 + 11b + -10b = -6 Combine like terms: -7 + -20 = -27 -27 + 11b + -10b = -6 Combine like terms: 11b + -10b = 1b -27 + 1b = -6 Solving -27 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -6 + 27 1b = -6 + 27 Combine like terms: -6 + 27 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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