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Simplifying 6b + -3(1 + 11b) = 12b + 11(-2 + -3n) + -10 6b + (1 * -3 + 11b * -3) = 12b + 11(-2 + -3n) + -10 6b + (-3 + -33b) = 12b + 11(-2 + -3n) + -10 Reorder the terms: -3 + 6b + -33b = 12b + 11(-2 + -3n) + -10 Combine like terms: 6b + -33b = -27b -3 + -27b = 12b + 11(-2 + -3n) + -10 -3 + -27b = 12b + (-2 * 11 + -3n * 11) + -10 -3 + -27b = 12b + (-22 + -33n) + -10 Reorder the terms: -3 + -27b = -22 + -10 + 12b + -33n Combine like terms: -22 + -10 = -32 -3 + -27b = -32 + 12b + -33n Solving -3 + -27b = -32 + 12b + -33n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -3 + -27b + -12b = -32 + 12b + -12b + -33n Combine like terms: -27b + -12b = -39b -3 + -39b = -32 + 12b + -12b + -33n Combine like terms: 12b + -12b = 0 -3 + -39b = -32 + 0 + -33n -3 + -39b = -32 + -33n Add '3' to each side of the equation. -3 + 3 + -39b = -32 + 3 + -33n Combine like terms: -3 + 3 = 0 0 + -39b = -32 + 3 + -33n -39b = -32 + 3 + -33n Combine like terms: -32 + 3 = -29 -39b = -29 + -33n Divide each side by '-39'. b = 0.7435897436 + 0.8461538462n Simplifying b = 0.7435897436 + 0.8461538462n
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