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Simplifying 3b + 5 = 7b + -2 Reorder the terms: 5 + 3b = 7b + -2 Reorder the terms: 5 + 3b = -2 + 7b Solving 5 + 3b = -2 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 5 + 3b + -7b = -2 + 7b + -7b Combine like terms: 3b + -7b = -4b 5 + -4b = -2 + 7b + -7b Combine like terms: 7b + -7b = 0 5 + -4b = -2 + 0 5 + -4b = -2 Add '-5' to each side of the equation. 5 + -5 + -4b = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -4b = -2 + -5 -4b = -2 + -5 Combine like terms: -2 + -5 = -7 -4b = -7 Divide each side by '-4'. b = 1.75 Simplifying b = 1.75
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