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Simplifying -7(-6b + -6) = -8 + -8b Reorder the terms: -7(-6 + -6b) = -8 + -8b (-6 * -7 + -6b * -7) = -8 + -8b (42 + 42b) = -8 + -8b Solving 42 + 42b = -8 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 42 + 42b + 8b = -8 + -8b + 8b Combine like terms: 42b + 8b = 50b 42 + 50b = -8 + -8b + 8b Combine like terms: -8b + 8b = 0 42 + 50b = -8 + 0 42 + 50b = -8 Add '-42' to each side of the equation. 42 + -42 + 50b = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 50b = -8 + -42 50b = -8 + -42 Combine like terms: -8 + -42 = -50 50b = -50 Divide each side by '50'. b = -1 Simplifying b = -1
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