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Simplifying 5(b + 6) = 6 + -1b Reorder the terms: 5(6 + b) = 6 + -1b (6 * 5 + b * 5) = 6 + -1b (30 + 5b) = 6 + -1b Solving 30 + 5b = 6 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 30 + 5b + b = 6 + -1b + b Combine like terms: 5b + b = 6b 30 + 6b = 6 + -1b + b Combine like terms: -1b + b = 0 30 + 6b = 6 + 0 30 + 6b = 6 Add '-30' to each side of the equation. 30 + -30 + 6b = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6b = 6 + -30 6b = 6 + -30 Combine like terms: 6 + -30 = -24 6b = -24 Divide each side by '6'. b = -4 Simplifying b = -4
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