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Simplifying -9.5(b + 1) = -4.5b + 15.5 Reorder the terms: -9.5(1 + b) = -4.5b + 15.5 (1 * -9.5 + b * -9.5) = -4.5b + 15.5 (-9.5 + -9.5b) = -4.5b + 15.5 Reorder the terms: -9.5 + -9.5b = 15.5 + -4.5b Solving -9.5 + -9.5b = 15.5 + -4.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4.5b' to each side of the equation. -9.5 + -9.5b + 4.5b = 15.5 + -4.5b + 4.5b Combine like terms: -9.5b + 4.5b = -5b -9.5 + -5b = 15.5 + -4.5b + 4.5b Combine like terms: -4.5b + 4.5b = 0.0 -9.5 + -5b = 15.5 + 0.0 -9.5 + -5b = 15.5 Add '9.5' to each side of the equation. -9.5 + 9.5 + -5b = 15.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + -5b = 15.5 + 9.5 -5b = 15.5 + 9.5 Combine like terms: 15.5 + 9.5 = 25 -5b = 25 Divide each side by '-5'. b = -5 Simplifying b = -5
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