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Simplifying -4.6b + 6 + 3.7b + -2 = 0 Reorder the terms: 6 + -2 + -4.6b + 3.7b = 0 Combine like terms: 6 + -2 = 4 4 + -4.6b + 3.7b = 0 Combine like terms: -4.6b + 3.7b = -0.9b 4 + -0.9b = 0 Solving 4 + -0.9b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -0.9b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.9b = 0 + -4 -0.9b = 0 + -4 Combine like terms: 0 + -4 = -4 -0.9b = -4 Divide each side by '-0.9'. b = 4.444444444 Simplifying b = 4.444444444
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