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Simplifying -13.1 + 12.3b = -0.2b + 1.64 + 14.7b Reorder the terms: -13.1 + 12.3b = 1.64 + -0.2b + 14.7b Combine like terms: -0.2b + 14.7b = 14.5b -13.1 + 12.3b = 1.64 + 14.5b Solving -13.1 + 12.3b = 1.64 + 14.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14.5b' to each side of the equation. -13.1 + 12.3b + -14.5b = 1.64 + 14.5b + -14.5b Combine like terms: 12.3b + -14.5b = -2.2b -13.1 + -2.2b = 1.64 + 14.5b + -14.5b Combine like terms: 14.5b + -14.5b = 0.0 -13.1 + -2.2b = 1.64 + 0.0 -13.1 + -2.2b = 1.64 Add '13.1' to each side of the equation. -13.1 + 13.1 + -2.2b = 1.64 + 13.1 Combine like terms: -13.1 + 13.1 = 0.0 0.0 + -2.2b = 1.64 + 13.1 -2.2b = 1.64 + 13.1 Combine like terms: 1.64 + 13.1 = 14.74 -2.2b = 14.74 Divide each side by '-2.2'. b = -6.7 Simplifying b = -6.7
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