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Simplifying -1(1 + -5b) + 8 = -8(b + -6) + 6b (1 * -1 + -5b * -1) + 8 = -8(b + -6) + 6b (-1 + 5b) + 8 = -8(b + -6) + 6b Reorder the terms: -1 + 8 + 5b = -8(b + -6) + 6b Combine like terms: -1 + 8 = 7 7 + 5b = -8(b + -6) + 6b Reorder the terms: 7 + 5b = -8(-6 + b) + 6b 7 + 5b = (-6 * -8 + b * -8) + 6b 7 + 5b = (48 + -8b) + 6b Combine like terms: -8b + 6b = -2b 7 + 5b = 48 + -2b Solving 7 + 5b = 48 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 7 + 5b + 2b = 48 + -2b + 2b Combine like terms: 5b + 2b = 7b 7 + 7b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 7 + 7b = 48 + 0 7 + 7b = 48 Add '-7' to each side of the equation. 7 + -7 + 7b = 48 + -7 Combine like terms: 7 + -7 = 0 0 + 7b = 48 + -7 7b = 48 + -7 Combine like terms: 48 + -7 = 41 7b = 41 Divide each side by '7'. b = 5.857142857 Simplifying b = 5.857142857
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