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Simplifying -1(7b + -6) = 2b + 33 Reorder the terms: -1(-6 + 7b) = 2b + 33 (-6 * -1 + 7b * -1) = 2b + 33 (6 + -7b) = 2b + 33 Reorder the terms: 6 + -7b = 33 + 2b Solving 6 + -7b = 33 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 6 + -7b + -2b = 33 + 2b + -2b Combine like terms: -7b + -2b = -9b 6 + -9b = 33 + 2b + -2b Combine like terms: 2b + -2b = 0 6 + -9b = 33 + 0 6 + -9b = 33 Add '-6' to each side of the equation. 6 + -6 + -9b = 33 + -6 Combine like terms: 6 + -6 = 0 0 + -9b = 33 + -6 -9b = 33 + -6 Combine like terms: 33 + -6 = 27 -9b = 27 Divide each side by '-9'. b = -3 Simplifying b = -3
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