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Simplifying -10.9 + -14.6b + -13.13 = 19.39 + 2.1b Reorder the terms: -10.9 + -13.13 + -14.6b = 19.39 + 2.1b Combine like terms: -10.9 + -13.13 = -24.03 -24.03 + -14.6b = 19.39 + 2.1b Solving -24.03 + -14.6b = 19.39 + 2.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.1b' to each side of the equation. -24.03 + -14.6b + -2.1b = 19.39 + 2.1b + -2.1b Combine like terms: -14.6b + -2.1b = -16.7b -24.03 + -16.7b = 19.39 + 2.1b + -2.1b Combine like terms: 2.1b + -2.1b = 0.0 -24.03 + -16.7b = 19.39 + 0.0 -24.03 + -16.7b = 19.39 Add '24.03' to each side of the equation. -24.03 + 24.03 + -16.7b = 19.39 + 24.03 Combine like terms: -24.03 + 24.03 = 0.00 0.00 + -16.7b = 19.39 + 24.03 -16.7b = 19.39 + 24.03 Combine like terms: 19.39 + 24.03 = 43.42 -16.7b = 43.42 Divide each side by '-16.7'. b = -2.6 Simplifying b = -2.6
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