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Simplifying 3b + -4.6 = -2b + 9.7 Reorder the terms: -4.6 + 3b = -2b + 9.7 Reorder the terms: -4.6 + 3b = 9.7 + -2b Solving -4.6 + 3b = 9.7 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -4.6 + 3b + 2b = 9.7 + -2b + 2b Combine like terms: 3b + 2b = 5b -4.6 + 5b = 9.7 + -2b + 2b Combine like terms: -2b + 2b = 0 -4.6 + 5b = 9.7 + 0 -4.6 + 5b = 9.7 Add '4.6' to each side of the equation. -4.6 + 4.6 + 5b = 9.7 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 5b = 9.7 + 4.6 5b = 9.7 + 4.6 Combine like terms: 9.7 + 4.6 = 14.3 5b = 14.3 Divide each side by '5'. b = 2.86 Simplifying b = 2.86
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