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Simplifying 9b + 1b + -2 = 6b + 1b + -7.4 Reorder the terms: -2 + 9b + 1b = 6b + 1b + -7.4 Combine like terms: 9b + 1b = 10b -2 + 10b = 6b + 1b + -7.4 Reorder the terms: -2 + 10b = -7.4 + 6b + 1b Combine like terms: 6b + 1b = 7b -2 + 10b = -7.4 + 7b Solving -2 + 10b = -7.4 + 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. -2 + 10b + -7b = -7.4 + 7b + -7b Combine like terms: 10b + -7b = 3b -2 + 3b = -7.4 + 7b + -7b Combine like terms: 7b + -7b = 0 -2 + 3b = -7.4 + 0 -2 + 3b = -7.4 Add '2' to each side of the equation. -2 + 2 + 3b = -7.4 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = -7.4 + 2 3b = -7.4 + 2 Combine like terms: -7.4 + 2 = -5.4 3b = -5.4 Divide each side by '3'. b = -1.8 Simplifying b = -1.8
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