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Simplifying 7(1 + -5b) = 39 + -3b (1 * 7 + -5b * 7) = 39 + -3b (7 + -35b) = 39 + -3b Solving 7 + -35b = 39 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 7 + -35b + 3b = 39 + -3b + 3b Combine like terms: -35b + 3b = -32b 7 + -32b = 39 + -3b + 3b Combine like terms: -3b + 3b = 0 7 + -32b = 39 + 0 7 + -32b = 39 Add '-7' to each side of the equation. 7 + -7 + -32b = 39 + -7 Combine like terms: 7 + -7 = 0 0 + -32b = 39 + -7 -32b = 39 + -7 Combine like terms: 39 + -7 = 32 -32b = 32 Divide each side by '-32'. b = -1 Simplifying b = -1
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