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Simplifying 8[5b + -2 + -7(8b + -1)] = 0 Reorder the terms: 8[5b + -2 + -7(-1 + 8b)] = 0 8[5b + -2 + (-1 * -7 + 8b * -7)] = 0 8[5b + -2 + (7 + -56b)] = 0 Reorder the terms: 8[-2 + 7 + 5b + -56b] = 0 Combine like terms: -2 + 7 = 5 8[5 + 5b + -56b] = 0 Combine like terms: 5b + -56b = -51b 8[5 + -51b] = 0 [5 * 8 + -51b * 8] = 0 [40 + -408b] = 0 Solving 40 + -408b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -408b = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -408b = 0 + -40 -408b = 0 + -40 Combine like terms: 0 + -40 = -40 -408b = -40 Divide each side by '-408'. b = 0.09803921569 Simplifying b = 0.09803921569
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