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Simplifying 45b + -15 = 40b + 45 Reorder the terms: -15 + 45b = 40b + 45 Reorder the terms: -15 + 45b = 45 + 40b Solving -15 + 45b = 45 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. -15 + 45b + -40b = 45 + 40b + -40b Combine like terms: 45b + -40b = 5b -15 + 5b = 45 + 40b + -40b Combine like terms: 40b + -40b = 0 -15 + 5b = 45 + 0 -15 + 5b = 45 Add '15' to each side of the equation. -15 + 15 + 5b = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 5b = 45 + 15 5b = 45 + 15 Combine like terms: 45 + 15 = 60 5b = 60 Divide each side by '5'. b = 12 Simplifying b = 12
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