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Simplifying 45(15 + b) = 1935 (15 * 45 + b * 45) = 1935 (675 + 45b) = 1935 Solving 675 + 45b = 1935 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-675' to each side of the equation. 675 + -675 + 45b = 1935 + -675 Combine like terms: 675 + -675 = 0 0 + 45b = 1935 + -675 45b = 1935 + -675 Combine like terms: 1935 + -675 = 1260 45b = 1260 Divide each side by '45'. b = 28 Simplifying b = 28
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