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Simplifying 7(4b + 5) = -33 + -6b Reorder the terms: 7(5 + 4b) = -33 + -6b (5 * 7 + 4b * 7) = -33 + -6b (35 + 28b) = -33 + -6b Solving 35 + 28b = -33 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 35 + 28b + 6b = -33 + -6b + 6b Combine like terms: 28b + 6b = 34b 35 + 34b = -33 + -6b + 6b Combine like terms: -6b + 6b = 0 35 + 34b = -33 + 0 35 + 34b = -33 Add '-35' to each side of the equation. 35 + -35 + 34b = -33 + -35 Combine like terms: 35 + -35 = 0 0 + 34b = -33 + -35 34b = -33 + -35 Combine like terms: -33 + -35 = -68 34b = -68 Divide each side by '34'. b = -2 Simplifying b = -2
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