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Simplifying 89 = -6(1 + -5b) + 5 89 = (1 * -6 + -5b * -6) + 5 89 = (-6 + 30b) + 5 Reorder the terms: 89 = -6 + 5 + 30b Combine like terms: -6 + 5 = -1 89 = -1 + 30b Solving 89 = -1 + 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. 89 + -30b = -1 + 30b + -30b Combine like terms: 30b + -30b = 0 89 + -30b = -1 + 0 89 + -30b = -1 Add '-89' to each side of the equation. 89 + -89 + -30b = -1 + -89 Combine like terms: 89 + -89 = 0 0 + -30b = -1 + -89 -30b = -1 + -89 Combine like terms: -1 + -89 = -90 -30b = -90 Divide each side by '-30'. b = 3 Simplifying b = 3
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