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Simplifying 2.7b + -4.35 = -7.79 + 3.2b + 12.79 Reorder the terms: -4.35 + 2.7b = -7.79 + 3.2b + 12.79 Reorder the terms: -4.35 + 2.7b = -7.79 + 12.79 + 3.2b Combine like terms: -7.79 + 12.79 = 5 -4.35 + 2.7b = 5 + 3.2b Solving -4.35 + 2.7b = 5 + 3.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.2b' to each side of the equation. -4.35 + 2.7b + -3.2b = 5 + 3.2b + -3.2b Combine like terms: 2.7b + -3.2b = -0.5b -4.35 + -0.5b = 5 + 3.2b + -3.2b Combine like terms: 3.2b + -3.2b = 0.0 -4.35 + -0.5b = 5 + 0.0 -4.35 + -0.5b = 5 Add '4.35' to each side of the equation. -4.35 + 4.35 + -0.5b = 5 + 4.35 Combine like terms: -4.35 + 4.35 = 0.00 0.00 + -0.5b = 5 + 4.35 -0.5b = 5 + 4.35 Combine like terms: 5 + 4.35 = 9.35 -0.5b = 9.35 Divide each side by '-0.5'. b = -18.7 Simplifying b = -18.7
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