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Simplifying -15.43 + 4b = 17.82 + 8.1b + -4.96 Reorder the terms: -15.43 + 4b = 17.82 + -4.96 + 8.1b Combine like terms: 17.82 + -4.96 = 12.86 -15.43 + 4b = 12.86 + 8.1b Solving -15.43 + 4b = 12.86 + 8.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8.1b' to each side of the equation. -15.43 + 4b + -8.1b = 12.86 + 8.1b + -8.1b Combine like terms: 4b + -8.1b = -4.1b -15.43 + -4.1b = 12.86 + 8.1b + -8.1b Combine like terms: 8.1b + -8.1b = 0.0 -15.43 + -4.1b = 12.86 + 0.0 -15.43 + -4.1b = 12.86 Add '15.43' to each side of the equation. -15.43 + 15.43 + -4.1b = 12.86 + 15.43 Combine like terms: -15.43 + 15.43 = 0.00 0.00 + -4.1b = 12.86 + 15.43 -4.1b = 12.86 + 15.43 Combine like terms: 12.86 + 15.43 = 28.29 -4.1b = 28.29 Divide each side by '-4.1'. b = -6.9 Simplifying b = -6.9
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