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Simplifying 7b + -8 + -12b + 6 = 9b + -9 + -17b + -6 Reorder the terms: -8 + 6 + 7b + -12b = 9b + -9 + -17b + -6 Combine like terms: -8 + 6 = -2 -2 + 7b + -12b = 9b + -9 + -17b + -6 Combine like terms: 7b + -12b = -5b -2 + -5b = 9b + -9 + -17b + -6 Reorder the terms: -2 + -5b = -9 + -6 + 9b + -17b Combine like terms: -9 + -6 = -15 -2 + -5b = -15 + 9b + -17b Combine like terms: 9b + -17b = -8b -2 + -5b = -15 + -8b Solving -2 + -5b = -15 + -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. -2 + -5b + 8b = -15 + -8b + 8b Combine like terms: -5b + 8b = 3b -2 + 3b = -15 + -8b + 8b Combine like terms: -8b + 8b = 0 -2 + 3b = -15 + 0 -2 + 3b = -15 Add '2' to each side of the equation. -2 + 2 + 3b = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = -15 + 2 3b = -15 + 2 Combine like terms: -15 + 2 = -13 3b = -13 Divide each side by '3'. b = -4.333333333 Simplifying b = -4.333333333
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