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Simplifying 5n + 6 + -3b = -12 Reorder the terms: 6 + -3b + 5n = -12 Solving 6 + -3b + 5n = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3b + -6 + 5n = -12 + -6 Reorder the terms: 6 + -6 + -3b + 5n = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3b + 5n = -12 + -6 -3b + 5n = -12 + -6 Combine like terms: -12 + -6 = -18 -3b + 5n = -18 Add '-5n' to each side of the equation. -3b + 5n + -5n = -18 + -5n Combine like terms: 5n + -5n = 0 -3b + 0 = -18 + -5n -3b = -18 + -5n Divide each side by '-3'. b = 6 + 1.666666667n Simplifying b = 6 + 1.666666667n
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