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Simplifying -7(1 + -8b) = 5b + -7 (1 * -7 + -8b * -7) = 5b + -7 (-7 + 56b) = 5b + -7 Reorder the terms: -7 + 56b = -7 + 5b Add '7' to each side of the equation. -7 + 7 + 56b = -7 + 7 + 5b Combine like terms: -7 + 7 = 0 0 + 56b = -7 + 7 + 5b 56b = -7 + 7 + 5b Combine like terms: -7 + 7 = 0 56b = 0 + 5b 56b = 5b Solving 56b = 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. 56b + -5b = 5b + -5b Combine like terms: 56b + -5b = 51b 51b = 5b + -5b Combine like terms: 5b + -5b = 0 51b = 0 Divide each side by '51'. b = 0 Simplifying b = 0
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