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Simplifying 5b + -35 + 9b = 12b + -9 Reorder the terms: -35 + 5b + 9b = 12b + -9 Combine like terms: 5b + 9b = 14b -35 + 14b = 12b + -9 Reorder the terms: -35 + 14b = -9 + 12b Solving -35 + 14b = -9 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -35 + 14b + -12b = -9 + 12b + -12b Combine like terms: 14b + -12b = 2b -35 + 2b = -9 + 12b + -12b Combine like terms: 12b + -12b = 0 -35 + 2b = -9 + 0 -35 + 2b = -9 Add '35' to each side of the equation. -35 + 35 + 2b = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 2b = -9 + 35 2b = -9 + 35 Combine like terms: -9 + 35 = 26 2b = 26 Divide each side by '2'. b = 13 Simplifying b = 13
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