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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 = -48 30b = -48 Divide each side by '30'. b = -1.6 Simplifying b = -1.6
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