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Simplifying 2b + -42 = -5b Reorder the terms: -42 + 2b = -5b Solving -42 + 2b = -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. -42 + 2b + 5b = -5b + 5b Combine like terms: 2b + 5b = 7b -42 + 7b = -5b + 5b Combine like terms: -5b + 5b = 0 -42 + 7b = 0 Add '42' to each side of the equation. -42 + 42 + 7b = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7b = 0 + 42 7b = 0 + 42 Combine like terms: 0 + 42 = 42 7b = 42 Divide each side by '7'. b = 6 Simplifying b = 6
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