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Simplifying 5.6 + 8b + -2.7 = -8 + 12b Reorder the terms: 5.6 + -2.7 + 8b = -8 + 12b Combine like terms: 5.6 + -2.7 = 2.9 2.9 + 8b = -8 + 12b Solving 2.9 + 8b = -8 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 2.9 + 8b + -12b = -8 + 12b + -12b Combine like terms: 8b + -12b = -4b 2.9 + -4b = -8 + 12b + -12b Combine like terms: 12b + -12b = 0 2.9 + -4b = -8 + 0 2.9 + -4b = -8 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -4b = -8 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -4b = -8 + -2.9 -4b = -8 + -2.9 Combine like terms: -8 + -2.9 = -10.9 -4b = -10.9 Divide each side by '-4'. b = 2.725 Simplifying b = 2.725
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