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Simplifying -8b + -4b = 5(-8b + -2) + -5(1 + -5b) Combine like terms: -8b + -4b = -12b -12b = 5(-8b + -2) + -5(1 + -5b) Reorder the terms: -12b = 5(-2 + -8b) + -5(1 + -5b) -12b = (-2 * 5 + -8b * 5) + -5(1 + -5b) -12b = (-10 + -40b) + -5(1 + -5b) -12b = -10 + -40b + (1 * -5 + -5b * -5) -12b = -10 + -40b + (-5 + 25b) Reorder the terms: -12b = -10 + -5 + -40b + 25b Combine like terms: -10 + -5 = -15 -12b = -15 + -40b + 25b Combine like terms: -40b + 25b = -15b -12b = -15 + -15b Solving -12b = -15 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -12b + 15b = -15 + -15b + 15b Combine like terms: -12b + 15b = 3b 3b = -15 + -15b + 15b Combine like terms: -15b + 15b = 0 3b = -15 + 0 3b = -15 Divide each side by '3'. b = -5 Simplifying b = -5
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