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Simplifying 3.5b + 7 = 37 + -1.5b Reorder the terms: 7 + 3.5b = 37 + -1.5b Solving 7 + 3.5b = 37 + -1.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.5b' to each side of the equation. 7 + 3.5b + 1.5b = 37 + -1.5b + 1.5b Combine like terms: 3.5b + 1.5b = 5b 7 + 5b = 37 + -1.5b + 1.5b Combine like terms: -1.5b + 1.5b = 0.0 7 + 5b = 37 + 0.0 7 + 5b = 37 Add '-7' to each side of the equation. 7 + -7 + 5b = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 5b = 37 + -7 5b = 37 + -7 Combine like terms: 37 + -7 = 30 5b = 30 Divide each side by '5'. b = 6 Simplifying b = 6
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