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Simplifying 6b + -46 + 3b = 7b + -7 Reorder the terms: -46 + 6b + 3b = 7b + -7 Combine like terms: 6b + 3b = 9b -46 + 9b = 7b + -7 Reorder the terms: -46 + 9b = -7 + 7b Solving -46 + 9b = -7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -46 + 9b + -7b = -7 + 7b + -7b Combine like terms: 9b + -7b = 2b -46 + 2b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 -46 + 2b = -7 + 0 -46 + 2b = -7 Add '46' to each side of the equation. -46 + 46 + 2b = -7 + 46 Combine like terms: -46 + 46 = 0 0 + 2b = -7 + 46 2b = -7 + 46 Combine like terms: -7 + 46 = 39 2b = 39 Divide each side by '2'. b = 19.5 Simplifying b = 19.5
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