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Simplifying 8b + -7(1 + -19b) = 17(b + -15) 8b + (1 * -7 + -19b * -7) = 17(b + -15) 8b + (-7 + 133b) = 17(b + -15) Reorder the terms: -7 + 8b + 133b = 17(b + -15) Combine like terms: 8b + 133b = 141b -7 + 141b = 17(b + -15) Reorder the terms: -7 + 141b = 17(-15 + b) -7 + 141b = (-15 * 17 + b * 17) -7 + 141b = (-255 + 17b) Solving -7 + 141b = -255 + 17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. -7 + 141b + -17b = -255 + 17b + -17b Combine like terms: 141b + -17b = 124b -7 + 124b = -255 + 17b + -17b Combine like terms: 17b + -17b = 0 -7 + 124b = -255 + 0 -7 + 124b = -255 Add '7' to each side of the equation. -7 + 7 + 124b = -255 + 7 Combine like terms: -7 + 7 = 0 0 + 124b = -255 + 7 124b = -255 + 7 Combine like terms: -255 + 7 = -248 124b = -248 Divide each side by '124'. b = -2 Simplifying b = -2
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