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Simplifying 2.9 = 8.2 + 4b + -9.6 Reorder the terms: 2.9 = 8.2 + -9.6 + 4b Combine like terms: 8.2 + -9.6 = -1.4 2.9 = -1.4 + 4b Solving 2.9 = -1.4 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 2.9 + -4b = -1.4 + 4b + -4b Combine like terms: 4b + -4b = 0 2.9 + -4b = -1.4 + 0 2.9 + -4b = -1.4 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -4b = -1.4 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -4b = -1.4 + -2.9 -4b = -1.4 + -2.9 Combine like terms: -1.4 + -2.9 = -4.3 -4b = -4.3 Divide each side by '-4'. b = 1.075 Simplifying b = 1.075
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