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Simplifying 3b + 1300 = 5b + 450 Reorder the terms: 1300 + 3b = 5b + 450 Reorder the terms: 1300 + 3b = 450 + 5b Solving 1300 + 3b = 450 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 1300 + 3b + -5b = 450 + 5b + -5b Combine like terms: 3b + -5b = -2b 1300 + -2b = 450 + 5b + -5b Combine like terms: 5b + -5b = 0 1300 + -2b = 450 + 0 1300 + -2b = 450 Add '-1300' to each side of the equation. 1300 + -1300 + -2b = 450 + -1300 Combine like terms: 1300 + -1300 = 0 0 + -2b = 450 + -1300 -2b = 450 + -1300 Combine like terms: 450 + -1300 = -850 -2b = -850 Divide each side by '-2'. b = 425 Simplifying b = 425
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