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Simplifying -241 = -1 + -6(-5b + 5) Reorder the terms: -241 = -1 + -6(5 + -5b) -241 = -1 + (5 * -6 + -5b * -6) -241 = -1 + (-30 + 30b) Combine like terms: -1 + -30 = -31 -241 = -31 + 30b Solving -241 = -31 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -241 + -30b = -31 + 30b + -30b Combine like terms: 30b + -30b = 0 -241 + -30b = -31 + 0 -241 + -30b = -31 Add '241' to each side of the equation. -241 + 241 + -30b = -31 + 241 Combine like terms: -241 + 241 = 0 0 + -30b = -31 + 241 -30b = -31 + 241 Combine like terms: -31 + 241 = 210 -30b = 210 Divide each side by '-30'. b = -7 Simplifying b = -7
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