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Simplifying -2b + 7 = 42 + 3b + -5 Reorder the terms: 7 + -2b = 42 + 3b + -5 Reorder the terms: 7 + -2b = 42 + -5 + 3b Combine like terms: 42 + -5 = 37 7 + -2b = 37 + 3b Solving 7 + -2b = 37 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7 + -2b + -3b = 37 + 3b + -3b Combine like terms: -2b + -3b = -5b 7 + -5b = 37 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + -5b = 37 + 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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