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Simplifying -1(b + -7) + -9(b + -3) = 8b + -4b Reorder the terms: -1(-7 + b) + -9(b + -3) = 8b + -4b (-7 * -1 + b * -1) + -9(b + -3) = 8b + -4b (7 + -1b) + -9(b + -3) = 8b + -4b Reorder the terms: 7 + -1b + -9(-3 + b) = 8b + -4b 7 + -1b + (-3 * -9 + b * -9) = 8b + -4b 7 + -1b + (27 + -9b) = 8b + -4b Reorder the terms: 7 + 27 + -1b + -9b = 8b + -4b Combine like terms: 7 + 27 = 34 34 + -1b + -9b = 8b + -4b Combine like terms: -1b + -9b = -10b 34 + -10b = 8b + -4b Combine like terms: 8b + -4b = 4b 34 + -10b = 4b Solving 34 + -10b = 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 34 + -10b + -4b = 4b + -4b Combine like terms: -10b + -4b = -14b 34 + -14b = 4b + -4b Combine like terms: 4b + -4b = 0 34 + -14b = 0 Add '-34' to each side of the equation. 34 + -34 + -14b = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -14b = 0 + -34 -14b = 0 + -34 Combine like terms: 0 + -34 = -34 -14b = -34 Divide each side by '-14'. b = 2.428571429 Simplifying b = 2.428571429
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