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Simplifying 5(6b + 1) = -19 + 6b Reorder the terms: 5(1 + 6b) = -19 + 6b (1 * 5 + 6b * 5) = -19 + 6b (5 + 30b) = -19 + 6b Solving 5 + 30b = -19 + 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. 5 + 30b + -6b = -19 + 6b + -6b Combine like terms: 30b + -6b = 24b 5 + 24b = -19 + 6b + -6b Combine like terms: 6b + -6b = 0 5 + 24b = -19 + 0 5 + 24b = -19 Add '-5' to each side of the equation. 5 + -5 + 24b = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 24b = -19 + -5 24b = -19 + -5 Combine like terms: -19 + -5 = -24 24b = -24 Divide each side by '24'. b = -1 Simplifying b = -1
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