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Simplifying 5(7b + 4) = 19 + 6b Reorder the terms: 5(4 + 7b) = 19 + 6b (4 * 5 + 7b * 5) = 19 + 6b (20 + 35b) = 19 + 6b Solving 20 + 35b = 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. 20 + 35b + -6b = 19 + 6b + -6b Combine like terms: 35b + -6b = 29b 20 + 29b = 19 + 6b + -6b Combine like terms: 6b + -6b = 0 20 + 29b = 19 + 0 20 + 29b = 19 Add '-20' to each side of the equation. 20 + -20 + 29b = 19 + -20 Combine like terms: 20 + -20 = 0 0 + 29b = 19 + -20 29b = 19 + -20 Combine like terms: 19 + -20 = -1 29b = -1 Divide each side by '29'. b = -0.03448275862 Simplifying b = -0.03448275862
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