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Simplifying -13b + 18 + -15 = 2b + 17 + -14b Reorder the terms: 18 + -15 + -13b = 2b + 17 + -14b Combine like terms: 18 + -15 = 3 3 + -13b = 2b + 17 + -14b Reorder the terms: 3 + -13b = 17 + 2b + -14b Combine like terms: 2b + -14b = -12b 3 + -13b = 17 + -12b Solving 3 + -13b = 17 + -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. 3 + -13b + 12b = 17 + -12b + 12b Combine like terms: -13b + 12b = -1b 3 + -1b = 17 + -12b + 12b Combine like terms: -12b + 12b = 0 3 + -1b = 17 + 0 3 + -1b = 17 Add '-3' to each side of the equation. 3 + -3 + -1b = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 17 + -3 -1b = 17 + -3 Combine like terms: 17 + -3 = 14 -1b = 14 Divide each side by '-1'. b = -14 Simplifying b = -14
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