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Simplifying 32 + 8b = -6(2 + 6b) 32 + 8b = (2 * -6 + 6b * -6) 32 + 8b = (-12 + -36b) Solving 32 + 8b = -12 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. 32 + 8b + 36b = -12 + -36b + 36b Combine like terms: 8b + 36b = 44b 32 + 44b = -12 + -36b + 36b Combine like terms: -36b + 36b = 0 32 + 44b = -12 + 0 32 + 44b = -12 Add '-32' to each side of the equation. 32 + -32 + 44b = -12 + -32 Combine like terms: 32 + -32 = 0 0 + 44b = -12 + -32 44b = -12 + -32 Combine like terms: -12 + -32 = -44 44b = -44 Divide each side by '44'. b = -1 Simplifying b = -1
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