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Simplifying -6b + -5(-6b + 8) = 36 + 5b Reorder the terms: -6b + -5(8 + -6b) = 36 + 5b -6b + (8 * -5 + -6b * -5) = 36 + 5b -6b + (-40 + 30b) = 36 + 5b Reorder the terms: -40 + -6b + 30b = 36 + 5b Combine like terms: -6b + 30b = 24b -40 + 24b = 36 + 5b Solving -40 + 24b = 36 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -40 + 24b + -5b = 36 + 5b + -5b Combine like terms: 24b + -5b = 19b -40 + 19b = 36 + 5b + -5b Combine like terms: 5b + -5b = 0 -40 + 19b = 36 + 0 -40 + 19b = 36 Add '40' to each side of the equation. -40 + 40 + 19b = 36 + 40 Combine like terms: -40 + 40 = 0 0 + 19b = 36 + 40 19b = 36 + 40 Combine like terms: 36 + 40 = 76 19b = 76 Divide each side by '19'. b = 4 Simplifying b = 4
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