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Simplifying 2b + c + 2 = b + 6c + -46 Reorder the terms: 2 + 2b + c = b + 6c + -46 Reorder the terms: 2 + 2b + c = -46 + b + 6c Solving 2 + 2b + c = -46 + b + 6c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 2 + 2b + -1b + c = -46 + b + -1b + 6c Combine like terms: 2b + -1b = 1b 2 + 1b + c = -46 + b + -1b + 6c Combine like terms: b + -1b = 0 2 + 1b + c = -46 + 0 + 6c 2 + 1b + c = -46 + 6c Add '-2' to each side of the equation. 2 + 1b + -2 + c = -46 + -2 + 6c Reorder the terms: 2 + -2 + 1b + c = -46 + -2 + 6c Combine like terms: 2 + -2 = 0 0 + 1b + c = -46 + -2 + 6c 1b + c = -46 + -2 + 6c Combine like terms: -46 + -2 = -48 1b + c = -48 + 6c Add '-1c' to each side of the equation. 1b + c + -1c = -48 + 6c + -1c Combine like terms: c + -1c = 0 1b + 0 = -48 + 6c + -1c 1b = -48 + 6c + -1c Combine like terms: 6c + -1c = 5c 1b = -48 + 5c Divide each side by '1'. b = -48 + 5c Simplifying b = -48 + 5c
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