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Simplifying (5b + -3)(2b + -4) = (10b + -4)(b + -1) Reorder the terms: (-3 + 5b)(2b + -4) = (10b + -4)(b + -1) Reorder the terms: (-3 + 5b)(-4 + 2b) = (10b + -4)(b + -1) Multiply (-3 + 5b) * (-4 + 2b) (-3(-4 + 2b) + 5b * (-4 + 2b)) = (10b + -4)(b + -1) ((-4 * -3 + 2b * -3) + 5b * (-4 + 2b)) = (10b + -4)(b + -1) ((12 + -6b) + 5b * (-4 + 2b)) = (10b + -4)(b + -1) (12 + -6b + (-4 * 5b + 2b * 5b)) = (10b + -4)(b + -1) (12 + -6b + (-20b + 10b2)) = (10b + -4)(b + -1) Combine like terms: -6b + -20b = -26b (12 + -26b + 10b2) = (10b + -4)(b + -1) Reorder the terms: 12 + -26b + 10b2 = (-4 + 10b)(b + -1) Reorder the terms: 12 + -26b + 10b2 = (-4 + 10b)(-1 + b) Multiply (-4 + 10b) * (-1 + b) 12 + -26b + 10b2 = (-4(-1 + b) + 10b * (-1 + b)) 12 + -26b + 10b2 = ((-1 * -4 + b * -4) + 10b * (-1 + b)) 12 + -26b + 10b2 = ((4 + -4b) + 10b * (-1 + b)) 12 + -26b + 10b2 = (4 + -4b + (-1 * 10b + b * 10b)) 12 + -26b + 10b2 = (4 + -4b + (-10b + 10b2)) Combine like terms: -4b + -10b = -14b 12 + -26b + 10b2 = (4 + -14b + 10b2) Add '-10b2' to each side of the equation. 12 + -26b + 10b2 + -10b2 = 4 + -14b + 10b2 + -10b2 Combine like terms: 10b2 + -10b2 = 0 12 + -26b + 0 = 4 + -14b + 10b2 + -10b2 12 + -26b = 4 + -14b + 10b2 + -10b2 Combine like terms: 10b2 + -10b2 = 0 12 + -26b = 4 + -14b + 0 12 + -26b = 4 + -14b Solving 12 + -26b = 4 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 12 + -26b + 14b = 4 + -14b + 14b Combine like terms: -26b + 14b = -12b 12 + -12b = 4 + -14b + 14b Combine like terms: -14b + 14b = 0 12 + -12b = 4 + 0 12 + -12b = 4 Add '-12' to each side of the equation. 12 + -12 + -12b = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -12b = 4 + -12 -12b = 4 + -12 Combine like terms: 4 + -12 = -8 -12b = -8 Divide each side by '-12'. b = 0.6666666667 Simplifying b = 0.6666666667
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