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Simplifying 54 = -6(1 + -5b) 54 = (1 * -6 + -5b * -6) 54 = (-6 + 30b) Solving 54 = -6 + 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. 54 + -30b = -6 + 30b + -30b Combine like terms: 30b + -30b = 0 54 + -30b = -6 + 0 54 + -30b = -6 Add '-54' to each side of the equation. 54 + -54 + -30b = -6 + -54 Combine like terms: 54 + -54 = 0 0 + -30b = -6 + -54 -30b = -6 + -54 Combine like terms: -6 + -54 = -60 -30b = -60 Divide each side by '-30'. b = 2 Simplifying b = 2
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