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Simplifying -12 + 1 + 6b + 2 = 8b + 12 + 5 Reorder the terms: -12 + 1 + 2 + 6b = 8b + 12 + 5 Combine like terms: -12 + 1 = -11 -11 + 2 + 6b = 8b + 12 + 5 Combine like terms: -11 + 2 = -9 -9 + 6b = 8b + 12 + 5 Reorder the terms: -9 + 6b = 12 + 5 + 8b Combine like terms: 12 + 5 = 17 -9 + 6b = 17 + 8b Solving -9 + 6b = 17 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -9 + 6b + -8b = 17 + 8b + -8b Combine like terms: 6b + -8b = -2b -9 + -2b = 17 + 8b + -8b Combine like terms: 8b + -8b = 0 -9 + -2b = 17 + 0 -9 + -2b = 17 Add '9' to each side of the equation. -9 + 9 + -2b = 17 + 9 Combine like terms: -9 + 9 = 0 0 + -2b = 17 + 9 -2b = 17 + 9 Combine like terms: 17 + 9 = 26 -2b = 26 Divide each side by '-2'. b = -13 Simplifying b = -13
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