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Simplifying 2(8b + -6) = 32 + -7b Reorder the terms: 2(-6 + 8b) = 32 + -7b (-6 * 2 + 8b * 2) = 32 + -7b (-12 + 16b) = 32 + -7b Solving -12 + 16b = 32 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -12 + 16b + 7b = 32 + -7b + 7b Combine like terms: 16b + 7b = 23b -12 + 23b = 32 + -7b + 7b Combine like terms: -7b + 7b = 0 -12 + 23b = 32 + 0 -12 + 23b = 32 Add '12' to each side of the equation. -12 + 12 + 23b = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 23b = 32 + 12 23b = 32 + 12 Combine like terms: 32 + 12 = 44 23b = 44 Divide each side by '23'. b = 1.913043478 Simplifying b = 1.913043478
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