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Simplifying 5.5 + -3b = 8n + -3(n + -4) Reorder the terms: 5.5 + -3b = 8n + -3(-4 + n) 5.5 + -3b = 8n + (-4 * -3 + n * -3) 5.5 + -3b = 8n + (12 + -3n) Reorder the terms: 5.5 + -3b = 12 + 8n + -3n Combine like terms: 8n + -3n = 5n 5.5 + -3b = 12 + 5n Solving 5.5 + -3b = 12 + 5n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -3b = 12 + -5.5 + 5n Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -3b = 12 + -5.5 + 5n -3b = 12 + -5.5 + 5n Combine like terms: 12 + -5.5 = 6.5 -3b = 6.5 + 5n Divide each side by '-3'. b = -2.166666667 + -1.666666667n Simplifying b = -2.166666667 + -1.666666667n
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