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Simplifying 2 + -1b + -14 = 8b + 102 Reorder the terms: 2 + -14 + -1b = 8b + 102 Combine like terms: 2 + -14 = -12 -12 + -1b = 8b + 102 Reorder the terms: -12 + -1b = 102 + 8b Solving -12 + -1b = 102 + 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. -12 + -1b + -8b = 102 + 8b + -8b Combine like terms: -1b + -8b = -9b -12 + -9b = 102 + 8b + -8b Combine like terms: 8b + -8b = 0 -12 + -9b = 102 + 0 -12 + -9b = 102 Add '12' to each side of the equation. -12 + 12 + -9b = 102 + 12 Combine like terms: -12 + 12 = 0 0 + -9b = 102 + 12 -9b = 102 + 12 Combine like terms: 102 + 12 = 114 -9b = 114 Divide each side by '-9'. b = -12.66666667 Simplifying b = -12.66666667
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