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Simplifying 46 = 11b + 5b + -8 + -7b Reorder the terms: 46 = -8 + 11b + 5b + -7b Combine like terms: 11b + 5b = 16b 46 = -8 + 16b + -7b Combine like terms: 16b + -7b = 9b 46 = -8 + 9b Solving 46 = -8 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 46 + -9b = -8 + 9b + -9b Combine like terms: 9b + -9b = 0 46 + -9b = -8 + 0 46 + -9b = -8 Add '-46' to each side of the equation. 46 + -46 + -9b = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -9b = -8 + -46 -9b = -8 + -46 Combine like terms: -8 + -46 = -54 -9b = -54 Divide each side by '-9'. b = 6 Simplifying b = 6
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