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Simplifying (11b + -9) + -5(2b + 4) = -7 Reorder the terms: (-9 + 11b) + -5(2b + 4) = -7 Remove parenthesis around (-9 + 11b) -9 + 11b + -5(2b + 4) = -7 Reorder the terms: -9 + 11b + -5(4 + 2b) = -7 -9 + 11b + (4 * -5 + 2b * -5) = -7 -9 + 11b + (-20 + -10b) = -7 Reorder the terms: -9 + -20 + 11b + -10b = -7 Combine like terms: -9 + -20 = -29 -29 + 11b + -10b = -7 Combine like terms: 11b + -10b = 1b -29 + 1b = -7 Solving -29 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = -7 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -7 + 29 1b = -7 + 29 Combine like terms: -7 + 29 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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