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Simplifying -5(5b + -6) + -8b = -38 + b Reorder the terms: -5(-6 + 5b) + -8b = -38 + b (-6 * -5 + 5b * -5) + -8b = -38 + b (30 + -25b) + -8b = -38 + b Combine like terms: -25b + -8b = -33b 30 + -33b = -38 + b Solving 30 + -33b = -38 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 30 + -33b + -1b = -38 + b + -1b Combine like terms: -33b + -1b = -34b 30 + -34b = -38 + b + -1b Combine like terms: b + -1b = 0 30 + -34b = -38 + 0 30 + -34b = -38 Add '-30' to each side of the equation. 30 + -30 + -34b = -38 + -30 Combine like terms: 30 + -30 = 0 0 + -34b = -38 + -30 -34b = -38 + -30 Combine like terms: -38 + -30 = -68 -34b = -68 Divide each side by '-34'. b = 2 Simplifying b = 2
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