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Simplifying 5(6 + 5b) = -27 + 6b (6 * 5 + 5b * 5) = -27 + 6b (30 + 25b) = -27 + 6b Solving 30 + 25b = -27 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 30 + 25b + -6b = -27 + 6b + -6b Combine like terms: 25b + -6b = 19b 30 + 19b = -27 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + 19b = -27 + 0 30 + 19b = -27 Add '-30' to each side of the equation. 30 + -30 + 19b = -27 + -30 Combine like terms: 30 + -30 = 0 0 + 19b = -27 + -30 19b = -27 + -30 Combine like terms: -27 + -30 = -57 19b = -57 Divide each side by '19'. b = -3 Simplifying b = -3
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