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Simplifying -8(8b + -7) = -1 + -7b Reorder the terms: -8(-7 + 8b) = -1 + -7b (-7 * -8 + 8b * -8) = -1 + -7b (56 + -64b) = -1 + -7b Solving 56 + -64b = -1 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 56 + -64b + 7b = -1 + -7b + 7b Combine like terms: -64b + 7b = -57b 56 + -57b = -1 + -7b + 7b Combine like terms: -7b + 7b = 0 56 + -57b = -1 + 0 56 + -57b = -1 Add '-56' to each side of the equation. 56 + -56 + -57b = -1 + -56 Combine like terms: 56 + -56 = 0 0 + -57b = -1 + -56 -57b = -1 + -56 Combine like terms: -1 + -56 = -57 -57b = -57 Divide each side by '-57'. b = 1 Simplifying b = 1
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