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Simplifying -11.77 + 11.6b = 19.43 + 13.9b + 2.5b Combine like terms: 13.9b + 2.5b = 16.4b -11.77 + 11.6b = 19.43 + 16.4b Solving -11.77 + 11.6b = 19.43 + 16.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16.4b' to each side of the equation. -11.77 + 11.6b + -16.4b = 19.43 + 16.4b + -16.4b Combine like terms: 11.6b + -16.4b = -4.8b -11.77 + -4.8b = 19.43 + 16.4b + -16.4b Combine like terms: 16.4b + -16.4b = 0.0 -11.77 + -4.8b = 19.43 + 0.0 -11.77 + -4.8b = 19.43 Add '11.77' to each side of the equation. -11.77 + 11.77 + -4.8b = 19.43 + 11.77 Combine like terms: -11.77 + 11.77 = 0.00 0.00 + -4.8b = 19.43 + 11.77 -4.8b = 19.43 + 11.77 Combine like terms: 19.43 + 11.77 = 31.2 -4.8b = 31.2 Divide each side by '-4.8'. b = -6.5 Simplifying b = -6.5
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