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Simplifying 6(4b + 1) = -1b + -19 Reorder the terms: 6(1 + 4b) = -1b + -19 (1 * 6 + 4b * 6) = -1b + -19 (6 + 24b) = -1b + -19 Reorder the terms: 6 + 24b = -19 + -1b Solving 6 + 24b = -19 + -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. 6 + 24b + b = -19 + -1b + b Combine like terms: 24b + b = 25b 6 + 25b = -19 + -1b + b Combine like terms: -1b + b = 0 6 + 25b = -19 + 0 6 + 25b = -19 Add '-6' to each side of the equation. 6 + -6 + 25b = -19 + -6 Combine like terms: 6 + -6 = 0 0 + 25b = -19 + -6 25b = -19 + -6 Combine like terms: -19 + -6 = -25 25b = -25 Divide each side by '25'. b = -1 Simplifying b = -1
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