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Simplifying -6 + -7(b + -8) = 38 + 5b Reorder the terms: -6 + -7(-8 + b) = 38 + 5b -6 + (-8 * -7 + b * -7) = 38 + 5b -6 + (56 + -7b) = 38 + 5b Combine like terms: -6 + 56 = 50 50 + -7b = 38 + 5b Solving 50 + -7b = 38 + 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. 50 + -7b + -5b = 38 + 5b + -5b Combine like terms: -7b + -5b = -12b 50 + -12b = 38 + 5b + -5b Combine like terms: 5b + -5b = 0 50 + -12b = 38 + 0 50 + -12b = 38 Add '-50' to each side of the equation. 50 + -50 + -12b = 38 + -50 Combine like terms: 50 + -50 = 0 0 + -12b = 38 + -50 -12b = 38 + -50 Combine like terms: 38 + -50 = -12 -12b = -12 Divide each side by '-12'. b = 1 Simplifying b = 1
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