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Simplifying 3900 = 6.5b + -500.5 Reorder the terms: 3900 = -500.5 + 6.5b Solving 3900 = -500.5 + 6.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6.5b' to each side of the equation. 3900 + -6.5b = -500.5 + 6.5b + -6.5b Combine like terms: 6.5b + -6.5b = 0.0 3900 + -6.5b = -500.5 + 0.0 3900 + -6.5b = -500.5 Add '-3900' to each side of the equation. 3900 + -3900 + -6.5b = -500.5 + -3900 Combine like terms: 3900 + -3900 = 0 0 + -6.5b = -500.5 + -3900 -6.5b = -500.5 + -3900 Combine like terms: -500.5 + -3900 = -4400.5 -6.5b = -4400.5 Divide each side by '-6.5'. b = 677 Simplifying b = 677
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