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Simplifying 7(1 + -6b) = -32 (1 * 7 + -6b * 7) = -32 (7 + -42b) = -32 Solving 7 + -42b = -32 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -42b = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -42b = -32 + -7 -42b = -32 + -7 Combine like terms: -32 + -7 = -39 -42b = -39 Divide each side by '-42'. b = 0.9285714286 Simplifying b = 0.9285714286
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