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Simplifying -2b + -7b + 11 = 3b + -13 Reorder the terms: 11 + -2b + -7b = 3b + -13 Combine like terms: -2b + -7b = -9b 11 + -9b = 3b + -13 Reorder the terms: 11 + -9b = -13 + 3b Solving 11 + -9b = -13 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 11 + -9b + -3b = -13 + 3b + -3b Combine like terms: -9b + -3b = -12b 11 + -12b = -13 + 3b + -3b Combine like terms: 3b + -3b = 0 11 + -12b = -13 + 0 11 + -12b = -13 Add '-11' to each side of the equation. 11 + -11 + -12b = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -12b = -13 + -11 -12b = -13 + -11 Combine like terms: -13 + -11 = -24 -12b = -24 Divide each side by '-12'. b = 2 Simplifying b = 2
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