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Simplifying -10.1b + -13.92 = -16.2b + 9.88 + 12.9b Reorder the terms: -13.92 + -10.1b = -16.2b + 9.88 + 12.9b Reorder the terms: -13.92 + -10.1b = 9.88 + -16.2b + 12.9b Combine like terms: -16.2b + 12.9b = -3.3b -13.92 + -10.1b = 9.88 + -3.3b Solving -13.92 + -10.1b = 9.88 + -3.3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3.3b' to each side of the equation. -13.92 + -10.1b + 3.3b = 9.88 + -3.3b + 3.3b Combine like terms: -10.1b + 3.3b = -6.8b -13.92 + -6.8b = 9.88 + -3.3b + 3.3b Combine like terms: -3.3b + 3.3b = 0.0 -13.92 + -6.8b = 9.88 + 0.0 -13.92 + -6.8b = 9.88 Add '13.92' to each side of the equation. -13.92 + 13.92 + -6.8b = 9.88 + 13.92 Combine like terms: -13.92 + 13.92 = 0.00 0.00 + -6.8b = 9.88 + 13.92 -6.8b = 9.88 + 13.92 Combine like terms: 9.88 + 13.92 = 23.8 -6.8b = 23.8 Divide each side by '-6.8'. b = -3.5 Simplifying b = -3.5
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