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Simplifying 5(1 + -7b) = 39 + -1b (1 * 5 + -7b * 5) = 39 + -1b (5 + -35b) = 39 + -1b Solving 5 + -35b = 39 + -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. 5 + -35b + b = 39 + -1b + b Combine like terms: -35b + b = -34b 5 + -34b = 39 + -1b + b Combine like terms: -1b + b = 0 5 + -34b = 39 + 0 5 + -34b = 39 Add '-5' to each side of the equation. 5 + -5 + -34b = 39 + -5 Combine like terms: 5 + -5 = 0 0 + -34b = 39 + -5 -34b = 39 + -5 Combine like terms: 39 + -5 = 34 -34b = 34 Divide each side by '-34'. b = -1 Simplifying b = -1
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