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Simplifying 11 + -4b + 2b + -9 = 15b + 17 + -2b Reorder the terms: 11 + -9 + -4b + 2b = 15b + 17 + -2b Combine like terms: 11 + -9 = 2 2 + -4b + 2b = 15b + 17 + -2b Combine like terms: -4b + 2b = -2b 2 + -2b = 15b + 17 + -2b Reorder the terms: 2 + -2b = 17 + 15b + -2b Combine like terms: 15b + -2b = 13b 2 + -2b = 17 + 13b Solving 2 + -2b = 17 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 2 + -2b + -13b = 17 + 13b + -13b Combine like terms: -2b + -13b = -15b 2 + -15b = 17 + 13b + -13b Combine like terms: 13b + -13b = 0 2 + -15b = 17 + 0 2 + -15b = 17 Add '-2' to each side of the equation. 2 + -2 + -15b = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -15b = 17 + -2 -15b = 17 + -2 Combine like terms: 17 + -2 = 15 -15b = 15 Divide each side by '-15'. b = -1 Simplifying b = -1
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