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Simplifying 4(-2b + 19) = 1 + -13b Reorder the terms: 4(19 + -2b) = 1 + -13b (19 * 4 + -2b * 4) = 1 + -13b (76 + -8b) = 1 + -13b Solving 76 + -8b = 1 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 76 + -8b + 13b = 1 + -13b + 13b Combine like terms: -8b + 13b = 5b 76 + 5b = 1 + -13b + 13b Combine like terms: -13b + 13b = 0 76 + 5b = 1 + 0 76 + 5b = 1 Add '-76' to each side of the equation. 76 + -76 + 5b = 1 + -76 Combine like terms: 76 + -76 = 0 0 + 5b = 1 + -76 5b = 1 + -76 Combine like terms: 1 + -76 = -75 5b = -75 Divide each side by '5'. b = -15 Simplifying b = -15
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