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Simplifying 0.6b + 51 = 42 + -1.4b Reorder the terms: 51 + 0.6b = 42 + -1.4b Solving 51 + 0.6b = 42 + -1.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.4b' to each side of the equation. 51 + 0.6b + 1.4b = 42 + -1.4b + 1.4b Combine like terms: 0.6b + 1.4b = 2b 51 + 2b = 42 + -1.4b + 1.4b Combine like terms: -1.4b + 1.4b = 0.0 51 + 2b = 42 + 0.0 51 + 2b = 42 Add '-51' to each side of the equation. 51 + -51 + 2b = 42 + -51 Combine like terms: 51 + -51 = 0 0 + 2b = 42 + -51 2b = 42 + -51 Combine like terms: 42 + -51 = -9 2b = -9 Divide each side by '2'. b = -4.5 Simplifying b = -4.5
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