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Simplifying 5b + -7(b + -8) = 40 Reorder the terms: 5b + -7(-8 + b) = 40 5b + (-8 * -7 + b * -7) = 40 5b + (56 + -7b) = 40 Reorder the terms: 56 + 5b + -7b = 40 Combine like terms: 5b + -7b = -2b 56 + -2b = 40 Solving 56 + -2b = 40 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -2b = 40 + -56 Combine like terms: 56 + -56 = 0 0 + -2b = 40 + -56 -2b = 40 + -56 Combine like terms: 40 + -56 = -16 -2b = -16 Divide each side by '-2'. b = 8 Simplifying b = 8
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